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ORCIDBibTeX records: Michael Dumbser
@article{DBLP:journals/jcphy/DumbserZGP24,
author = {Michael Dumbser and
Olindo Zanotti and
Elena Gaburro and
Ilya Peshkov},
title = {A well-balanced discontinuous Galerkin method for the first-order
{Z4} formulation of the Einstein-Euler system},
journal = {J. Comput. Phys.},
volume = {504},
pages = {112875},
year = {2024},
url = {https://doi.org/10.1016/j.jcp.2024.112875},
doi = {10.1016/J.JCP.2024.112875},
timestamp = {Sat, 08 Jun 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserZGP24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/BoscheriDM24,
author = {Walter Boscheri and
Michael Dumbser and
Pierre{-}Henri Maire},
title = {A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian
Gas Dynamics},
journal = {{SIAM} J. Sci. Comput.},
volume = {46},
number = {4},
pages = {2224},
year = {2024},
url = {https://doi.org/10.1137/23m1580863},
doi = {10.1137/23M1580863},
timestamp = {Fri, 16 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/BoscheriDM24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-18724,
author = {Laura R{\'{\i}}o{-}Mart{\'{\i}}n and
Firas Dhaouadi and
Michael Dumbser},
title = {An exactly curl-free finite-volume scheme for a hyperbolic compressible
barotropic two-phase model},
journal = {CoRR},
volume = {abs/2403.18724},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.18724},
doi = {10.48550/ARXIV.2403.18724},
eprinttype = {arXiv},
eprint = {2403.18724},
timestamp = {Wed, 10 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-18724.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2403-19298,
author = {Davide Ferrari and
Ilya Peshkov and
Evgeniy I. Romenski and
Michael Dumbser},
title = {A unified {SHTC} multiphase model of continuum mechanics},
journal = {CoRR},
volume = {abs/2403.19298},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2403.19298},
doi = {10.48550/ARXIV.2403.19298},
eprinttype = {arXiv},
eprint = {2403.19298},
timestamp = {Wed, 10 Apr 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2403-19298.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2405-13441,
author = {Walter Boscheri and
Saray Busto and
Michael Dumbser},
title = {An all Mach number semi-implicit hybrid Finite Volume/Virtual Element
method for compressible viscous flows on Voronoi meshes},
journal = {CoRR},
volume = {abs/2405.13441},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2405.13441},
doi = {10.48550/ARXIV.2405.13441},
eprinttype = {arXiv},
eprint = {2405.13441},
timestamp = {Tue, 18 Jun 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2405-13441.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2406-05450,
author = {Dinshaw S. Balsara and
Deepak Bhoriya and
Olindo Zanotti and
Michael Dumbser},
title = {Well-balanced high order finite difference {WENO} schemes for a first-order
{Z4} formulation of the Einstein field equations},
journal = {CoRR},
volume = {abs/2406.05450},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2406.05450},
doi = {10.48550/ARXIV.2406.05450},
eprinttype = {arXiv},
eprint = {2406.05450},
timestamp = {Sun, 04 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2406-05450.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2406-12055,
author = {Michael Dumbser and
Olindo Zanotti and
Gabriella Puppo},
title = {A monolithic first-order {BSSNOK} formulation of the Einstein-Euler
equations and its solution with path-conservative finite difference
{CWENO} schemes},
journal = {CoRR},
volume = {abs/2406.12055},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2406.12055},
doi = {10.48550/ARXIV.2406.12055},
eprinttype = {arXiv},
eprint = {2406.12055},
timestamp = {Wed, 24 Jul 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2406-12055.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2406-15798,
author = {Michael Dumbser and
Olindo Zanotti and
Ilya Peshkov},
title = {High order discontinuous Galerkin schemes with subcell finite volume
limiter and {AMR} for a monolithic first-order {BSSNOK} formulation
of the Einstein-Euler equations},
journal = {CoRR},
volume = {abs/2406.15798},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2406.15798},
doi = {10.48550/ARXIV.2406.15798},
eprinttype = {arXiv},
eprint = {2406.15798},
timestamp = {Wed, 24 Jul 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2406-15798.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2407-10163,
author = {Enrico Zampa and
Michael Dumbser},
title = {An asymptotic-preserving and exactly mass-conservative semi-implicit
scheme for weakly compressible flows based on compatible finite elements},
journal = {CoRR},
volume = {abs/2407.10163},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2407.10163},
doi = {10.48550/ARXIV.2407.10163},
eprinttype = {arXiv},
eprint = {2407.10163},
timestamp = {Thu, 15 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2407-10163.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2408-03862,
author = {Firas Dhaouadi and
Michael Dumbser and
Sergey L. Gavrilyuk},
title = {A first-order hyperbolic reformulation of the Cahn-Hilliard equation},
journal = {CoRR},
volume = {abs/2408.03862},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2408.03862},
doi = {10.48550/ARXIV.2408.03862},
eprinttype = {arXiv},
eprint = {2408.03862},
timestamp = {Fri, 13 Sep 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2408-03862.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/BustoDR23,
author = {Saray Busto and
Michael Dumbser and
Laura R{\'{\i}}o{-}Mart{\'{\i}}n},
title = {An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element
method on moving unstructured meshes for the Navier-Stokes equations},
journal = {Appl. Math. Comput.},
volume = {437},
pages = {127539},
year = {2023},
url = {https://doi.org/10.1016/j.amc.2022.127539},
doi = {10.1016/J.AMC.2022.127539},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/BustoDR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/AbgrallBD23,
author = {R{\'{e}}mi Abgrall and
Saray Busto and
Michael Dumbser},
title = {A simple and general framework for the construction of thermodynamically
compatible schemes for computational fluid and solid mechanics},
journal = {Appl. Math. Comput.},
volume = {440},
pages = {127629},
year = {2023},
url = {https://doi.org/10.1016/j.amc.2022.127629},
doi = {10.1016/J.AMC.2022.127629},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/AbgrallBD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DumbserBVP23,
author = {Michael Dumbser and
Saray Busto and
M. Elena V{\'{a}}zquez{-}Cend{\'{o}}n and
Ilya Peshkov},
title = {Preface for the special issue "Hyperbolic {PDE} in computational
physics: Advanced mathematical models and structure-preserving numerics"},
journal = {Appl. Math. Comput.},
volume = {450},
pages = {127994},
year = {2023},
url = {https://doi.org/10.1016/j.amc.2023.127994},
doi = {10.1016/J.AMC.2023.127994},
timestamp = {Mon, 22 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/DumbserBVP23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/FambriZBRHSD23,
author = {Francesco Fambri and
Enrico Zampa and
Saray Busto and
Laura R{\'{\i}}o{-}Mart{\'{\i}}n and
Florian Hindenlang and
Eric Sonnendr{\"{u}}cker and
Michael Dumbser},
title = {A well-balanced and exactly divergence-free staggered semi-implicit
hybrid finite volume / finite element scheme for the incompressible
{MHD} equations},
journal = {J. Comput. Phys.},
volume = {493},
pages = {112493},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2023.112493},
doi = {10.1016/J.JCP.2023.112493},
timestamp = {Tue, 15 Oct 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/FambriZBRHSD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/LuccaBMTD23,
author = {Alessia Lucca and
Saray Busto and
Lucas O. M{\"{u}}ller and
Eleuterio F. Toro and
Michael Dumbser},
title = {A semi-implicit finite volume scheme for blood flow in elastic and
viscoelastic vessels},
journal = {J. Comput. Phys.},
volume = {495},
pages = {112530},
year = {2023},
url = {https://doi.org/10.1016/j.jcp.2023.112530},
doi = {10.1016/J.JCP.2023.112530},
timestamp = {Sat, 08 Jun 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/LuccaBMTD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ChiocchettiD23,
author = {Simone Chiocchetti and
Michael Dumbser},
title = {An Exactly Curl-Free Staggered Semi-Implicit Finite Volume Scheme
for a First Order Hyperbolic Model of Viscous Two-Phase Flows with
Surface Tension},
journal = {J. Sci. Comput.},
volume = {94},
number = {1},
pages = {24},
year = {2023},
url = {https://doi.org/10.1007/s10915-022-02077-2},
doi = {10.1007/S10915-022-02077-2},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/ChiocchettiD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/ThomannD23,
author = {Andrea Thomann and
Michael Dumbser},
title = {Thermodynamically Compatible Discretization of a Compressible Two-Fluid
Model with Two Entropy Inequalities},
journal = {J. Sci. Comput.},
volume = {97},
number = {1},
pages = {9},
year = {2023},
url = {https://doi.org/10.1007/s10915-023-02321-3},
doi = {10.1007/S10915-023-02321-3},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/ThomannD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BustoD23,
author = {Saray Busto and
Michael Dumbser},
title = {A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics},
journal = {{SIAM} J. Numer. Anal.},
volume = {61},
number = {1},
pages = {343--364},
year = {2023},
url = {https://doi.org/10.1137/22m147815x},
doi = {10.1137/22M147815X},
timestamp = {Tue, 07 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/BustoD23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-08282,
author = {Saray Busto and
Michael Dumbser},
title = {A new thermodynamically compatible finite volume scheme for magnetohydrodynamics},
journal = {CoRR},
volume = {abs/2301.08282},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.08282},
doi = {10.48550/ARXIV.2301.08282},
eprinttype = {arXiv},
eprint = {2301.08282},
timestamp = {Thu, 26 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-08282.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-08357,
author = {Saray Busto and
Laura R{\'{\i}}o{-}Mart{\'{\i}}n and
Mar{\'{\i}}a Elena V{\'{a}}zquez{-}Cend{\'{o}}n and
Michael Dumbser},
title = {A semi-implicit hybrid finite volume / finite element scheme for all
Mach number flows on staggered unstructured meshes},
journal = {CoRR},
volume = {abs/2301.08357},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.08357},
doi = {10.48550/ARXIV.2301.08357},
eprinttype = {arXiv},
eprint = {2301.08357},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-08357.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-08358,
author = {Saray Busto and
Michael Dumbser and
Ilya Peshkov and
Evgeniy I. Romenski},
title = {On thermodynamically compatible finite volume schemes for continuum
mechanics},
journal = {CoRR},
volume = {abs/2301.08358},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.08358},
doi = {10.48550/ARXIV.2301.08358},
eprinttype = {arXiv},
eprint = {2301.08358},
timestamp = {Thu, 26 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-08358.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-08823,
author = {Saray Busto and
Michael Dumbser},
title = {A staggered semi-implicit hybrid finite volume / finite element scheme
for the shallow water equations at all Froude numbers},
journal = {CoRR},
volume = {abs/2301.08823},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.08823},
doi = {10.48550/ARXIV.2301.08823},
eprinttype = {arXiv},
eprint = {2301.08823},
timestamp = {Thu, 26 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-08823.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2301-09601,
author = {Saray Busto and
Michael Dumbser and
Laura R{\'{\i}}o{-}Mart{\'{\i}}n},
title = {An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element
method on moving unstructured meshes for the Navier-Stokes equations},
journal = {CoRR},
volume = {abs/2301.09601},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2301.09601},
doi = {10.48550/ARXIV.2301.09601},
eprinttype = {arXiv},
eprint = {2301.09601},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2301-09601.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2302-05688,
author = {Alessia Lucca and
Saray Busto and
Michael Dumbser},
title = {An implicit staggered hybrid finite volume/finite element solver for
the incompressible Navier-Stokes equations},
journal = {CoRR},
volume = {abs/2302.05688},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2302.05688},
doi = {10.48550/ARXIV.2302.05688},
eprinttype = {arXiv},
eprint = {2302.05688},
timestamp = {Sun, 19 Feb 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2302-05688.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-06497,
author = {Francesco Fambri and
Enrico Zampa and
Saray Busto and
Laura R{\'{\i}}o{-}Mart{\'{\i}}n and
Florian Hindenlang and
Eric Sonnendr{\"{u}}cker and
Michael Dumbser},
title = {A well-balanced and exactly divergence-free staggered semi-implicit
hybrid finite volume/finite element scheme for the incompressible
{MHD} equations},
journal = {CoRR},
volume = {abs/2305.06497},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.06497},
doi = {10.48550/ARXIV.2305.06497},
eprinttype = {arXiv},
eprint = {2305.06497},
timestamp = {Tue, 15 Oct 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-06497.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2305-10318,
author = {Laura R{\'{\i}}o{-}Mart{\'{\i}}n and
Michael Dumbser},
title = {High-order {ADER} Discontinuous Galerkin schemes for a symmetric hyperbolic
model of compressible barotropic two-fluid flows},
journal = {CoRR},
volume = {abs/2305.10318},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2305.10318},
doi = {10.48550/ARXIV.2305.10318},
eprinttype = {arXiv},
eprint = {2305.10318},
timestamp = {Wed, 24 May 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2305-10318.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2306-11651,
author = {Walter Boscheri and
Michael Dumbser and
Pierre{-}Henri Maire},
title = {A new thermodynamically compatible finite volume scheme for Lagrangian
gas dynamics},
journal = {CoRR},
volume = {abs/2306.11651},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2306.11651},
doi = {10.48550/ARXIV.2306.11651},
eprinttype = {arXiv},
eprint = {2306.11651},
timestamp = {Fri, 23 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2306-11651.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2307-06629,
author = {Michael Dumbser and
Olindo Zanotti and
Elena Gaburro and
Ilya Peshkov},
title = {A well-balanced discontinuous Galerkin method for the first-order
{Z4} formulation of the Einstein-Euler system},
journal = {CoRR},
volume = {abs/2307.06629},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2307.06629},
doi = {10.48550/ARXIV.2307.06629},
eprinttype = {arXiv},
eprint = {2307.06629},
timestamp = {Thu, 27 Jul 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2307-06629.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DhaouadiD22,
author = {Firas Dhaouadi and
Michael Dumbser},
title = {A first order hyperbolic reformulation of the Navier-Stokes-Korteweg
system based on the {GPR} model and an augmented Lagrangian approach},
journal = {J. Comput. Phys.},
volume = {470},
pages = {111544},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2022.111544},
doi = {10.1016/J.JCP.2022.111544},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DhaouadiD22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/FernandezDDL22,
author = {Ernesto Guerrero Fern{\'{a}}ndez and
Manuel Jes{\'{u}}s Castro D{\'{\i}}az and
Michael Dumbser and
Tom{\'{a}}s Morales de Luna},
title = {An Arbitrary High Order Well-Balanced {ADER-DG} Numerical Scheme for
the Multilayer Shallow-Water Model with Variable Density},
journal = {J. Sci. Comput.},
volume = {90},
number = {1},
pages = {52},
year = {2022},
url = {https://doi.org/10.1007/s10915-021-01734-2},
doi = {10.1007/S10915-021-01734-2},
timestamp = {Fri, 21 Jan 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jscic/FernandezDDL22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BustoD22,
author = {Saray Busto and
Michael Dumbser},
title = {A New Family of Thermodynamically Compatible Discontinuous Galerkin
Methods for Continuum Mechanics and Turbulent Shallow Water Flows},
journal = {J. Sci. Comput.},
volume = {93},
number = {2},
pages = {56},
year = {2022},
url = {https://doi.org/10.1007/s10915-022-02017-0},
doi = {10.1007/S10915-022-02017-0},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/BustoD22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/TheinRD22,
author = {Ferdinand Thein and
Evgeniy I. Romenski and
Michael Dumbser},
title = {Exact and Numerical Solutions of the Riemann Problem for a Conservative
Model of Compressible Two-Phase Flows},
journal = {J. Sci. Comput.},
volume = {93},
number = {3},
pages = {83},
year = {2022},
url = {https://doi.org/10.1007/s10915-022-02028-x},
doi = {10.1007/S10915-022-02028-X},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/TheinRD22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/BustoDPR22,
author = {Saray Busto and
Michael Dumbser and
Ilya Peshkov and
Evgeniy I. Romenski},
title = {On Thermodynamically Compatible Finite Volume Schemes for Continuum
Mechanics},
journal = {{SIAM} J. Sci. Comput.},
volume = {44},
number = {1},
pages = {1723},
year = {2022},
url = {https://doi.org/10.1137/21m1417508},
doi = {10.1137/21M1417508},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/BustoDPR22.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2205-14673,
author = {Walter Boscheri and
Michael Dumbser and
Elena Gaburro},
title = {Continuous finite element subgrid basis functions for Discontinuous
Galerkin schemes on unstructured polygonal Voronoi meshes},
journal = {CoRR},
volume = {abs/2205.14673},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2205.14673},
doi = {10.48550/ARXIV.2205.14673},
eprinttype = {arXiv},
eprint = {2205.14673},
timestamp = {Wed, 01 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2205-14673.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2208-05893,
author = {Simone Chiocchetti and
Michael Dumbser},
title = {An exactly curl-free staggered semi-implicit finite volume scheme
for a first order hyperbolic model of viscous flow with surface tension},
journal = {CoRR},
volume = {abs/2208.05893},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2208.05893},
doi = {10.48550/ARXIV.2208.05893},
eprinttype = {arXiv},
eprint = {2208.05893},
timestamp = {Tue, 16 Aug 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2208-05893.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/BustoRVD21,
author = {Saray Busto and
Laura R{\'{\i}}o{-}Mart{\'{\i}}n and
M. Elena V{\'{a}}zquez{-}Cend{\'{o}}n and
Michael Dumbser},
title = {A semi-implicit hybrid finite volume/finite element scheme for all
Mach number flows on staggered unstructured meshes},
journal = {Appl. Math. Comput.},
volume = {402},
pages = {126117},
year = {2021},
url = {https://doi.org/10.1016/j.amc.2021.126117},
doi = {10.1016/J.AMC.2021.126117},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/BustoRVD21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriDIPR21,
author = {Walter Boscheri and
Michael Dumbser and
Matteo Ioriatti and
Ilya Peshkov and
Evgeniy I. Romenski},
title = {A structure-preserving staggered semi-implicit finite volume scheme
for continuum mechanics},
journal = {J. Comput. Phys.},
volume = {424},
pages = {109866},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2020.109866},
doi = {10.1016/J.JCP.2020.109866},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriDIPR21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ChiocchettiPGD21,
author = {Simone Chiocchetti and
Ilya Peshkov and
Sergey L. Gavrilyuk and
Michael Dumbser},
title = {High order {ADER} schemes and {GLM} curl cleaning for a first order
hyperbolic formulation of compressible flow with surface tension},
journal = {J. Comput. Phys.},
volume = {426},
pages = {109898},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2020.109898},
doi = {10.1016/J.JCP.2020.109898},
timestamp = {Sun, 06 Oct 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/ChiocchettiPGD21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GaburroD21,
author = {Elena Gaburro and
Michael Dumbser},
title = {A Posteriori Subcell Finite Volume Limiter for General P\({}_{\mbox{NP\({}_{\mbox{M}}\)}}\)
Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics},
journal = {J. Sci. Comput.},
volume = {86},
number = {3},
pages = {37},
year = {2021},
url = {https://doi.org/10.1007/s10915-020-01405-8},
doi = {10.1007/S10915-020-01405-8},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GaburroD21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BustoDEFG21,
author = {Saray Busto and
Michael Dumbser and
Cipriano Escalante and
Nicolas Favrie and
Sergey L. Gavrilyuk},
title = {On High Order {ADER} Discontinuous Galerkin Schemes for First Order
Hyperbolic Reformulations of Nonlinear Dispersive Systems},
journal = {J. Sci. Comput.},
volume = {87},
number = {2},
pages = {48},
year = {2021},
url = {https://doi.org/10.1007/s10915-021-01429-8},
doi = {10.1007/S10915-021-01429-8},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/BustoDEFG21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BustoDGI21,
author = {Saray Busto and
Michael Dumbser and
Sergey L. Gavrilyuk and
Kseniya Ivanova},
title = {On Thermodynamically Compatible Finite Volume Methods and Path-Conservative
{ADER} Discontinuous Galerkin Schemes for Turbulent Shallow Water
Flows},
journal = {J. Sci. Comput.},
volume = {88},
number = {1},
pages = {28},
year = {2021},
url = {https://doi.org/10.1007/s10915-021-01521-z},
doi = {10.1007/S10915-021-01521-Z},
timestamp = {Sun, 06 Oct 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/BustoDGI21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/GaburroCD21,
author = {Elena Gaburro and
Manuel J. Castro and
Michael Dumbser},
title = {A Well Balanced Finite Volume Scheme for General Relativity},
journal = {{SIAM} J. Sci. Comput.},
volume = {43},
number = {6},
pages = {B1226--B1251},
year = {2021},
url = {https://doi.org/10.1137/21M1399154},
doi = {10.1137/21M1399154},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/GaburroCD21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2108-02960,
author = {Elena Gaburro and
Manuel J. Castro and
Michael Dumbser},
title = {A well balanced finite volume scheme for general relativity},
journal = {CoRR},
volume = {abs/2108.02960},
year = {2021},
url = {https://arxiv.org/abs/2108.02960},
eprinttype = {arXiv},
eprint = {2108.02960},
timestamp = {Wed, 11 Aug 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2108-02960.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/ReinarzCBBDDFGG20,
author = {Anne Reinarz and
Dominic Etienne Charrier and
Michael Bader and
Luke Bovard and
Michael Dumbser and
Kenneth Duru and
Francesco Fambri and
Alice{-}Agnes Gabriel and
Jean{-}Matthieu Gallard and
Sven K{\"{o}}ppel and
Lukas Krenz and
Leonhard Rannabauer and
Luciano Rezzolla and
Philipp Samfass and
Maurizio Tavelli and
Tobias Weinzierl},
title = {ExaHyPE: An engine for parallel dynamically adaptive simulations of
wave problems},
journal = {Comput. Phys. Commun.},
volume = {254},
pages = {107251},
year = {2020},
url = {https://doi.org/10.1016/j.cpc.2020.107251},
doi = {10.1016/J.CPC.2020.107251},
timestamp = {Tue, 01 Jun 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cphysics/ReinarzCBBDDFGG20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserFGR20,
author = {Michael Dumbser and
Francesco Fambri and
Elena Gaburro and
Anne Reinarz},
title = {On {GLM} curl cleaning for a first order reduction of the {CCZ4} formulation
of the Einstein field equations},
journal = {J. Comput. Phys.},
volume = {404},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2019.109088},
doi = {10.1016/J.JCP.2019.109088},
timestamp = {Mon, 05 Feb 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserFGR20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/GaburroBCKSD20,
author = {Elena Gaburro and
Walter Boscheri and
Simone Chiocchetti and
Christian Klingenberg and
Volker Springel and
Michael Dumbser},
title = {High order direct Arbitrary-Lagrangian-Eulerian schemes on moving
Voronoi meshes with topology changes},
journal = {J. Comput. Phys.},
volume = {407},
pages = {109167},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2019.109167},
doi = {10.1016/J.JCP.2019.109167},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/GaburroBCKSD20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BermudezBDFSV20,
author = {Alfredo Berm{\'{u}}dez and
Saray Busto and
Michael Dumbser and
Jose Luis Ferr{\'{\i}}n and
Laura Saavedra and
M. Elena V{\'{a}}zquez{-}Cend{\'{o}}n},
title = {A staggered semi-implicit hybrid {FV/FE} projection method for weakly
compressible flows},
journal = {J. Comput. Phys.},
volume = {421},
pages = {109743},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2020.109743},
doi = {10.1016/J.JCP.2020.109743},
timestamp = {Fri, 09 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/BermudezBDFSV20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TavelliCRGD20,
author = {Maurizio Tavelli and
Simone Chiocchetti and
Evgeniy I. Romenski and
Alice{-}Agnes Gabriel and
Michael Dumbser},
title = {Space-time adaptive {ADER} discontinuous Galerkin schemes for nonlinear
hyperelasticity with material failure},
journal = {J. Comput. Phys.},
volume = {422},
pages = {109758},
year = {2020},
url = {https://doi.org/10.1016/j.jcp.2020.109758},
doi = {10.1016/J.JCP.2020.109758},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TavelliCRGD20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/IoriattiDL20,
author = {Matteo Ioriatti and
Michael Dumbser and
Rapha{\"{e}}l Loub{\`{e}}re},
title = {A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori
Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics},
journal = {J. Sci. Comput.},
volume = {83},
number = {2},
pages = {27},
year = {2020},
url = {https://doi.org/10.1007/s10915-020-01209-w},
doi = {10.1007/S10915-020-01209-W},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/IoriattiDL20.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2001-10326,
author = {Friedemann Kemm and
Elena Gaburro and
Ferdinand Thein and
Michael Dumbser},
title = {A simple diffuse interface approach for compressible flows around
moving solids of arbitrary shape based on a reduced Baer-Nunziato
model},
journal = {CoRR},
volume = {abs/2001.10326},
year = {2020},
url = {https://arxiv.org/abs/2001.10326},
eprinttype = {arXiv},
eprint = {2001.10326},
timestamp = {Thu, 30 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2001-10326.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2002-08818,
author = {Simone Chiocchetti and
Ilya Peshkov and
Sergey L. Gavrilyuk and
Michael Dumbser},
title = {High order {ADER} schemes and {GLM} curl cleaning for a first order
hyperbolic formulation of compressible flow with surface tension},
journal = {CoRR},
volume = {abs/2002.08818},
year = {2020},
url = {https://arxiv.org/abs/2002.08818},
eprinttype = {arXiv},
eprint = {2002.08818},
timestamp = {Tue, 27 Apr 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2002-08818.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-02760,
author = {Maurizio Tavelli and
Simone Chiocchetti and
Evgeniy I. Romenski and
Alice{-}Agnes Gabriel and
Michael Dumbser},
title = {Space-time adaptive {ADER} discontinuous Galerkin schemes for nonlinear
hyperelasticity with material failure},
journal = {CoRR},
volume = {abs/2003.02760},
year = {2020},
url = {https://arxiv.org/abs/2003.02760},
eprinttype = {arXiv},
eprint = {2003.02760},
timestamp = {Thu, 10 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-02760.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-02799,
author = {Michael Dumbser and
Simone Chiocchetti and
Ilya Peshkov},
title = {On numerical methods for hyperbolic {PDE} with curl involutions},
journal = {CoRR},
volume = {abs/2003.02799},
year = {2020},
url = {https://arxiv.org/abs/2003.02799},
eprinttype = {arXiv},
eprint = {2003.02799},
timestamp = {Tue, 10 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-02799.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-06891,
author = {Francesco Lohengrin Romeo and
Michael Dumbser and
Maurizio Tavelli},
title = {A novel staggered semi-implicit space-time discontinuous Galerkin
method for the incompressible Navier-Stokes equations},
journal = {CoRR},
volume = {abs/2003.06891},
year = {2020},
url = {https://arxiv.org/abs/2003.06891},
eprinttype = {arXiv},
eprint = {2003.06891},
timestamp = {Tue, 17 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-06891.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2003-14309,
author = {Caterina Bassi and
Luca Bonaventura and
Saray Busto and
Michael Dumbser},
title = {A hyperbolic reformulation of the Serre-Green-Naghdi model for general
bottom topographies},
journal = {CoRR},
volume = {abs/2003.14309},
year = {2020},
url = {https://arxiv.org/abs/2003.14309},
eprinttype = {arXiv},
eprint = {2003.14309},
timestamp = {Sat, 23 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2003-14309.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2004-03257,
author = {Caterina Bassi and
Saray Busto and
Michael Dumbser},
title = {High order {ADER-DG} schemes for the simulation of linear seismic
waves induced by nonlinear dispersive free-surface water waves},
journal = {CoRR},
volume = {abs/2004.03257},
year = {2020},
url = {https://arxiv.org/abs/2004.03257},
eprinttype = {arXiv},
eprint = {2004.03257},
timestamp = {Sat, 23 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2004-03257.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2005-04296,
author = {Walter Boscheri and
Michael Dumbser and
Matteo Ioriatti and
Ilya Peshkov and
Evgeniy I. Romenski},
title = {A structure-preserving staggered semi-implicit finite volume scheme
for continuum mechanics},
journal = {CoRR},
volume = {abs/2005.04296},
year = {2020},
url = {https://arxiv.org/abs/2005.04296},
eprinttype = {arXiv},
eprint = {2005.04296},
timestamp = {Thu, 10 Dec 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2005-04296.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2009-03522,
author = {Dinshaw S. Balsara and
Roger K{\"{a}}ppeli and
Walter Boscheri and
Michael Dumbser},
title = {Curl constraint-preserving reconstruction and the guidance it gives
for mimetic scheme design},
journal = {CoRR},
volume = {abs/2009.03522},
year = {2020},
url = {https://arxiv.org/abs/2009.03522},
eprinttype = {arXiv},
eprint = {2009.03522},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2009-03522.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2010-04853,
author = {Elena Gaburro and
Michael Dumbser},
title = {A posteriori subcell finite volume limiter for general {PNPM} schemes:
applications from gasdynamics to relativistic magnetohydrodynamics},
journal = {CoRR},
volume = {abs/2010.04853},
year = {2020},
url = {https://arxiv.org/abs/2010.04853},
eprinttype = {arXiv},
eprint = {2010.04853},
timestamp = {Tue, 20 Oct 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2010-04853.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2012-07656,
author = {Ilya Peshkov and
Michael Dumbser and
Walter Boscheri and
Evgeniy I. Romenski and
Simone Chiocchetti and
Matteo Ioriatti},
title = {Modeling solid-fluid transformations in non-Newtonian viscoplastic
flows with a unified flow theory},
journal = {CoRR},
volume = {abs/2012.07656},
year = {2020},
url = {https://arxiv.org/abs/2012.07656},
eprinttype = {arXiv},
eprint = {2012.07656},
timestamp = {Tue, 05 Jan 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2012-07656.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/BoscheriDR19,
author = {Walter Boscheri and
Michael Dumbser and
Maurizio Righetti},
title = {{FORCE} schemes on moving unstructured meshes for hyperbolic systems},
journal = {Comput. Math. Appl.},
volume = {78},
number = {2},
pages = {362--380},
year = {2019},
url = {https://doi.org/10.1016/j.camwa.2018.09.008},
doi = {10.1016/J.CAMWA.2018.09.008},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cma/BoscheriDR19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/ijhpca/CharrierHTBDKMW19,
author = {Dominic Etienne Charrier and
Benjamin Hazelwood and
Ekaterina O. Tutlyaeva and
Michael Bader and
Michael Dumbser and
Andrey Kudryavtsev and
Alexander A. Moskovsky and
Tobias Weinzierl},
title = {Studies on the energy and deep memory behaviour of a cache-oblivious,
task-based hyperbolic {PDE} solver},
journal = {Int. J. High Perform. Comput. Appl.},
volume = {33},
number = {5},
year = {2019},
url = {https://doi.org/10.1177/1094342019842645},
doi = {10.1177/1094342019842645},
timestamp = {Sun, 25 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/ijhpca/CharrierHTBDKMW19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TavelliDCRWB19,
author = {Maurizio Tavelli and
Michael Dumbser and
Dominic Etienne Charrier and
Leonhard Rannabauer and
Tobias Weinzierl and
Michael Bader},
title = {A simple diffuse interface approach on adaptive Cartesian grids for
the linear elastic wave equations with complex topography},
journal = {J. Comput. Phys.},
volume = {386},
pages = {158--189},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.02.004},
doi = {10.1016/J.JCP.2019.02.004},
timestamp = {Tue, 28 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/TavelliDCRWB19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/PeshkovBLRD19,
author = {Ilya Peshkov and
Walter Boscheri and
Rapha{\"{e}}l Loub{\`{e}}re and
Evgeniy I. Romenski and
Michael Dumbser},
title = {Theoretical and numerical comparison of hyperelastic and hypoelastic
formulations for Eulerian non-linear elastoplasticity},
journal = {J. Comput. Phys.},
volume = {387},
pages = {481--521},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.02.039},
doi = {10.1016/J.JCP.2019.02.039},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/PeshkovBLRD19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/EscalanteDD19,
author = {Cipriano Escalante and
Michael Dumbser and
Manuel Jes{\'{u}}s Castro D{\'{\i}}az},
title = {An efficient hyperbolic relaxation system for dispersive non-hydrostatic
water waves and its solution with high order discontinuous Galerkin
schemes},
journal = {J. Comput. Phys.},
volume = {394},
pages = {385--416},
year = {2019},
url = {https://doi.org/10.1016/j.jcp.2019.05.035},
doi = {10.1016/J.JCP.2019.05.035},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/EscalanteDD19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1905-07987,
author = {Anne Reinarz and
Dominic Etienne Charrier and
Michael Bader and
Luke Bovard and
Michael Dumbser and
Kenneth Duru and
Francesco Fambri and
Alice{-}Agnes Gabriel and
Jean{-}Mathieu Gallard and
Sven K{\"{o}}ppel and
Lukas Krenz and
Leonhard Rannabauer and
Luciano Rezzolla and
Philipp Samfass and
Maurizio Tavelli and
Tobias Weinzierl},
title = {ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of
Wave Problems},
journal = {CoRR},
volume = {abs/1905.07987},
year = {2019},
url = {http://arxiv.org/abs/1905.07987},
eprinttype = {arXiv},
eprint = {1905.07987},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1905-07987.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1906-01460,
author = {Saray Busto and
Maurizio Tavelli and
Walter Boscheri and
Michael Dumbser},
title = {Efficient high order accurate staggered semi-implicit discontinuous
Galerkin methods for natural convection problems},
journal = {CoRR},
volume = {abs/1906.01460},
year = {2019},
url = {https://doi.org/10.48550/arXiv.1906.01460},
doi = {10.48550/ARXIV.1906.01460},
eprinttype = {arXiv},
eprint = {1906.01460},
timestamp = {Wed, 21 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1906-01460.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1909-03455,
author = {Michael Dumbser and
Francesco Fambri and
Elena Gaburro},
title = {On {GLM} curl cleaning for a first order reduction of the {CCZ4} formulation
of the Einstein field equations},
journal = {CoRR},
volume = {abs/1909.03455},
year = {2019},
url = {http://arxiv.org/abs/1909.03455},
eprinttype = {arXiv},
eprint = {1909.03455},
timestamp = {Tue, 17 Sep 2019 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1909-03455.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1912-01964,
author = {Saray Busto and
Simone Chiocchetti and
Michael Dumbser and
Elena Gaburro and
Ilya Peshkov},
title = {High order {ADER} schemes for continuum mechanics},
journal = {CoRR},
volume = {abs/1912.01964},
year = {2019},
url = {http://arxiv.org/abs/1912.01964},
eprinttype = {arXiv},
eprint = {1912.01964},
timestamp = {Tue, 07 Jan 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1912-01964.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1912-03121,
author = {Giulia Bertaglia and
Matteo Ioriatti and
Alessandro Valiani and
Michael Dumbser and
Valerio Caleffi},
title = {Numerical methods for hydraulic transients in visco-elastic pipes},
journal = {CoRR},
volume = {abs/1912.03121},
year = {2019},
url = {https://arxiv.org/abs/1912.03121},
eprinttype = {arXiv},
eprint = {1912.03121},
timestamp = {Fri, 10 Dec 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1912-03121.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/axioms/DumbserFTBW18,
author = {Michael Dumbser and
Francesco Fambri and
Maurizio Tavelli and
Michael Bader and
Tobias Weinzierl},
title = {Efficient Implementation of {ADER} Discontinuous Galerkin Schemes
for a Scalable Hyperbolic {PDE} Engine},
journal = {Axioms},
volume = {7},
number = {3},
pages = {63},
year = {2018},
url = {https://doi.org/10.3390/axioms7030063},
doi = {10.3390/AXIOMS7030063},
timestamp = {Fri, 30 Nov 2018 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/axioms/DumbserFTBW18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriDLM18,
author = {Walter Boscheri and
Michael Dumbser and
Rapha{\"{e}}l Loub{\`{e}}re and
Pierre{-}Henri Maire},
title = {A second-order cell-centered Lagrangian {ADER-MOOD} finite volume
scheme on multidimensional unstructured meshes for hydrodynamics},
journal = {J. Comput. Phys.},
volume = {358},
pages = {103--129},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2017.12.040},
doi = {10.1016/J.JCP.2017.12.040},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriDLM18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TavelliD18,
author = {Maurizio Tavelli and
Michael Dumbser},
title = {Arbitrary high order accurate space-time discontinuous Galerkin finite
element schemes on staggered unstructured meshes for linear elasticity},
journal = {J. Comput. Phys.},
volume = {366},
pages = {386--414},
year = {2018},
url = {https://doi.org/10.1016/j.jcp.2018.03.038},
doi = {10.1016/J.JCP.2018.03.038},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TavelliD18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/nla/DumbserFFMCT18,
author = {Michael Dumbser and
Francesco Fambri and
Isabella Furci and
Mariarosa Mazza and
Stefano Serra{-}Capizzano and
Maurizio Tavelli},
title = {Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes
equations: Spectral analysis and computational results},
journal = {Numer. Linear Algebra Appl.},
volume = {25},
number = {5},
year = {2018},
url = {https://doi.org/10.1002/nla.2151},
doi = {10.1002/NLA.2151},
timestamp = {Fri, 16 Aug 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/nla/DumbserFFMCT18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/superfri/SmirnovaDPCR18,
author = {Nadezhda S. Smirnova and
Michael Dumbser and
Mikhail N. Petrov and
Alexander V. Chikitkin and
Evgeniy I. Romenski},
title = {A Flux Splitting Method for the {SHTC} Model for High-performance
Simulations of Two-phase Flows},
journal = {Supercomput. Front. Innov.},
volume = {5},
number = {3},
pages = {83--87},
year = {2018},
url = {https://doi.org/10.14529/jsfi180315},
doi = {10.14529/JSFI180315},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/superfri/SmirnovaDPCR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/FambriDZ17,
author = {Francesco Fambri and
Michael Dumbser and
Olindo Zanotti},
title = {Space-time adaptive {ADER-DG} schemes for dissipative flows: Compressible
Navier-Stokes and resistive {MHD} equations},
journal = {Comput. Phys. Commun.},
volume = {220},
pages = {297--318},
year = {2017},
url = {https://doi.org/10.1016/j.cpc.2017.08.001},
doi = {10.1016/J.CPC.2017.08.001},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cphysics/FambriDZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TavelliD17,
author = {Maurizio Tavelli and
Michael Dumbser},
title = {A pressure-based semi-implicit space-time discontinuous Galerkin method
on staggered unstructured meshes for the solution of the compressible
Navier-Stokes equations at all Mach numbers},
journal = {J. Comput. Phys.},
volume = {341},
pages = {341--376},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.03.030},
doi = {10.1016/J.JCP.2017.03.030},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/TavelliD17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriD17,
author = {Walter Boscheri and
Michael Dumbser},
title = {Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with
a posteriori subcell finite volume limiting on moving unstructured
meshes},
journal = {J. Comput. Phys.},
volume = {346},
pages = {449--479},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.06.022},
doi = {10.1016/J.JCP.2017.06.022},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriD17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserPRZ17,
author = {Michael Dumbser and
Ilya Peshkov and
Evgeniy I. Romenski and
Olindo Zanotti},
title = {High order {ADER} schemes for a unified first order hyperbolic formulation
of Newtonian continuum mechanics coupled with electro-dynamics},
journal = {J. Comput. Phys.},
volume = {348},
pages = {298--342},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.07.020},
doi = {10.1016/J.JCP.2017.07.020},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserPRZ17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/DumbserBS017,
author = {Michael Dumbser and
Walter Boscheri and
Matteo Semplice and
Giovanni Russo},
title = {Central Weighted {ENO} Schemes for Hyperbolic Conservation Laws on
Fixed and Moving Unstructured Meshes},
journal = {{SIAM} J. Sci. Comput.},
volume = {39},
number = {6},
year = {2017},
url = {https://doi.org/10.1137/17M1111036},
doi = {10.1137/17M1111036},
timestamp = {Sat, 05 Sep 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/DumbserBS017.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DumbserGRR16,
author = {Michael Dumbser and
Gregor Gassner and
Christian Rohde and
Sabine Roller},
title = {Preface to the special issue "Recent Advances in Numerical Methods
for Hyperbolic Partial Differential Equations"},
journal = {Appl. Math. Comput.},
volume = {272},
pages = {235--236},
year = {2016},
url = {https://doi.org/10.1016/j.amc.2015.11.023},
doi = {10.1016/J.AMC.2015.11.023},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/amc/DumbserGRR16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DumbserF16,
author = {Michael Dumbser and
Matteo Facchini},
title = {A space-time discontinuous Galerkin method for Boussinesq-type equations},
journal = {Appl. Math. Comput.},
volume = {272},
pages = {336--346},
year = {2016},
url = {https://doi.org/10.1016/j.amc.2015.06.052},
doi = {10.1016/J.AMC.2015.06.052},
timestamp = {Thu, 05 Nov 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/DumbserF16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DumbserC16,
author = {Michael Dumbser and
Vincenzo Casulli},
title = {A conservative, weakly nonlinear semi-implicit finite volume scheme
for the compressible Navier-Stokes equations with general equation
of state},
journal = {Appl. Math. Comput.},
volume = {272},
pages = {479--497},
year = {2016},
url = {https://doi.org/10.1016/j.amc.2015.08.042},
doi = {10.1016/J.AMC.2015.08.042},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/DumbserC16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraVGNDGA16,
author = {Dinshaw S. Balsara and
Jeaniffer Vides and
Katharine F. Gurski and
Boniface Nkonga and
Michael Dumbser and
Sudip Garain and
Edouard Audit},
title = {A two-dimensional Riemann solver with self-similar sub-structure -
Alternative formulation based on least squares projection},
journal = {J. Comput. Phys.},
volume = {304},
pages = {138--161},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2015.10.013},
doi = {10.1016/J.JCP.2015.10.013},
timestamp = {Mon, 18 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraVGNDGA16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserB16,
author = {Michael Dumbser and
Dinshaw S. Balsara},
title = {A new efficient formulation of the {HLLEM} Riemann solver for general
conservative and non-conservative hyperbolic systems},
journal = {J. Comput. Phys.},
volume = {304},
pages = {275--319},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2015.10.014},
doi = {10.1016/J.JCP.2015.10.014},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserB16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserPRZ16,
author = {Michael Dumbser and
Ilya Peshkov and
Evgeniy I. Romenski and
Olindo Zanotti},
title = {High order {ADER} schemes for a unified first order hyperbolic formulation
of continuum mechanics: Viscous heat-conducting fluids and elastic
solids},
journal = {J. Comput. Phys.},
volume = {314},
pages = {824--862},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.02.015},
doi = {10.1016/J.JCP.2016.02.015},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserPRZ16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserL16,
author = {Michael Dumbser and
Rapha{\"{e}}l Loub{\`{e}}re},
title = {A simple robust and accurate a posteriori sub-cell finite volume limiter
for the discontinuous Galerkin method on unstructured meshes},
journal = {J. Comput. Phys.},
volume = {319},
pages = {163--199},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.05.002},
doi = {10.1016/J.JCP.2016.05.002},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserL16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TavelliD16,
author = {Maurizio Tavelli and
Michael Dumbser},
title = {A staggered space-time discontinuous Galerkin method for the three-dimensional
incompressible Navier-Stokes equations on unstructured tetrahedral
meshes},
journal = {J. Comput. Phys.},
volume = {319},
pages = {294--323},
year = {2016},
url = {https://doi.org/10.1016/j.jcp.2016.05.009},
doi = {10.1016/J.JCP.2016.05.009},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TavelliD16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BoscheriD16,
author = {Walter Boscheri and
Michael Dumbser},
title = {An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian-Eulerian
{ADER-WENO} Finite Volume Schemes on Unstructured Meshes},
journal = {J. Sci. Comput.},
volume = {66},
number = {1},
pages = {240--274},
year = {2016},
url = {https://doi.org/10.1007/s10915-015-0019-2},
doi = {10.1007/S10915-015-0019-2},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/BoscheriD16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/GoetzD16,
author = {Claus R. Goetz and
Michael Dumbser},
title = {A Novel Solver for the Generalized Riemann Problem Based on a Simplified
LeFloch-Raviart Expansion and a Local Space-Time Discontinuous Galerkin
Formulation},
journal = {J. Sci. Comput.},
volume = {69},
number = {2},
pages = {805--840},
year = {2016},
url = {https://doi.org/10.1007/s10915-016-0218-5},
doi = {10.1007/S10915-016-0218-5},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/GoetzD16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/NguyenD15,
author = {Nguyen T. Nguyen and
Michael Dumbser},
title = {A path-conservative finite volume scheme for compressible multi-phase
flows with surface tension},
journal = {Appl. Math. Comput.},
volume = {271},
pages = {959--978},
year = {2015},
url = {https://doi.org/10.1016/j.amc.2015.09.026},
doi = {10.1016/J.AMC.2015.09.026},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/NguyenD15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cphysics/ZanottiD15,
author = {Olindo Zanotti and
Michael Dumbser},
title = {A high order special relativistic hydrodynamic and magnetohydrodynamic
code with space-time adaptive mesh refinement},
journal = {Comput. Phys. Commun.},
volume = {188},
pages = {110--127},
year = {2015},
url = {https://doi.org/10.1016/j.cpc.2014.11.015},
doi = {10.1016/J.CPC.2014.11.015},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/cphysics/ZanottiD15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraD15,
author = {Dinshaw S. Balsara and
Michael Dumbser},
title = {Multidimensional Riemann problem with self-similar internal structure.
Part {II} - Application to hyperbolic conservation laws on unstructured
meshes},
journal = {J. Comput. Phys.},
volume = {287},
pages = {269--292},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2014.11.004},
doi = {10.1016/J.JCP.2014.11.004},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraD15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriDZ15,
author = {Walter Boscheri and
Michael Dumbser and
Olindo Zanotti},
title = {High order cell-centered Lagrangian-type finite volume schemes with
time-accurate local time stepping on unstructured triangular meshes},
journal = {J. Comput. Phys.},
volume = {291},
pages = {120--150},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2015.02.052},
doi = {10.1016/J.JCP.2015.02.052},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriDZ15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriLD15,
author = {Walter Boscheri and
Rapha{\"{e}}l Loub{\`{e}}re and
Michael Dumbser},
title = {Direct Arbitrary-Lagrangian-Eulerian {ADER-MOOD} finite volume schemes
for multidimensional hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {292},
pages = {56--87},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2015.03.015},
doi = {10.1016/J.JCP.2015.03.015},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriLD15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraD15a,
author = {Dinshaw S. Balsara and
Michael Dumbser},
title = {Divergence-free {MHD} on unstructured meshes using high order finite
volume schemes based on multidimensional Riemann solvers},
journal = {J. Comput. Phys.},
volume = {299},
pages = {687--715},
year = {2015},
url = {https://doi.org/10.1016/j.jcp.2015.07.012},
doi = {10.1016/J.JCP.2015.07.012},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraD15a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/acomp/NguyenD15a,
author = {Nguyen T. Nguyen and
Michael Dumbser},
title = {A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows
with Surface Tension},
booktitle = {2015 International Conference on Advanced Computing and Applications,
{ACOMP} 2015, Ho Chi Minh City, Vietnam, November 23-25, 2015},
pages = {112--117},
publisher = {{IEEE} Computer Society},
year = {2015},
url = {https://doi.org/10.1109/ACOMP.2015.22},
doi = {10.1109/ACOMP.2015.22},
timestamp = {Fri, 24 Mar 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/conf/acomp/NguyenD15a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/TavelliD14a,
author = {Maurizio Tavelli and
Michael Dumbser},
title = {A high order semi-implicit discontinuous Galerkin method for the two
dimensional shallow water equations on staggered unstructured meshes},
journal = {Appl. Math. Comput.},
volume = {234},
pages = {623--644},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2014.02.032},
doi = {10.1016/J.AMC.2014.02.032},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/TavelliD14a.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/TavelliD14,
author = {Maurizio Tavelli and
Michael Dumbser},
title = {A staggered semi-implicit discontinuous Galerkin method for the two
dimensional incompressible Navier-Stokes equations},
journal = {Appl. Math. Comput.},
volume = {248},
pages = {70--92},
year = {2014},
url = {https://doi.org/10.1016/j.amc.2014.09.089},
doi = {10.1016/J.AMC.2014.09.089},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/TavelliD14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/TitarevDU14,
author = {Vladimir A. Titarev and
Michael Dumbser and
Sergey V. Utyuzhnikov},
title = {Construction and comparison of parallel implicit kinetic solvers in
three spatial dimensions},
journal = {J. Comput. Phys.},
volume = {256},
pages = {17--33},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2013.08.051},
doi = {10.1016/J.JCP.2013.08.051},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/TitarevDU14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraDA14,
author = {Dinshaw S. Balsara and
Michael Dumbser and
R{\'{e}}mi Abgrall},
title = {Multidimensional {HLLC} Riemann solver for unstructured meshes - With
application to Euler and {MHD} flows},
journal = {J. Comput. Phys.},
volume = {261},
pages = {172--208},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2013.12.029},
doi = {10.1016/J.JCP.2013.12.029},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraDA14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriBD14,
author = {Walter Boscheri and
Dinshaw S. Balsara and
Michael Dumbser},
title = {Lagrangian {ADER-WENO} finite volume schemes on unstructured triangular
meshes based on genuinely multidimensional {HLL} Riemann solvers},
journal = {J. Comput. Phys.},
volume = {267},
pages = {112--138},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.02.023},
doi = {10.1016/J.JCP.2014.02.023},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriBD14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/AvesaniDB14,
author = {Diego Avesani and
Michael Dumbser and
Alberto Bellin},
title = {A new class of Moving-Least-Squares {WENO-SPH} schemes},
journal = {J. Comput. Phys.},
volume = {270},
pages = {278--299},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.03.041},
doi = {10.1016/J.JCP.2014.03.041},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/AvesaniDB14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BoscheriD14,
author = {Walter Boscheri and
Michael Dumbser},
title = {A direct Arbitrary-Lagrangian-Eulerian {ADER-WENO} finite volume scheme
on unstructured tetrahedral meshes for conservative and non-conservative
hyperbolic systems in 3D},
journal = {J. Comput. Phys.},
volume = {275},
pages = {484--523},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.06.059},
doi = {10.1016/J.JCP.2014.06.059},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriD14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserZLD14,
author = {Michael Dumbser and
Olindo Zanotti and
Rapha{\"{e}}l Loub{\`{e}}re and
Steven Diot},
title = {A posteriori subcell limiting of the discontinuous Galerkin finite
element method for hyperbolic conservation laws},
journal = {J. Comput. Phys.},
volume = {278},
pages = {47--75},
year = {2014},
url = {https://doi.org/10.1016/j.jcp.2014.08.009},
doi = {10.1016/J.JCP.2014.08.009},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserZLD14.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/DumbserC13,
author = {Michael Dumbser and
Vincenzo Casulli},
title = {A staggered semi-implicit spectral discontinuous Galerkin scheme for
the shallow water equations},
journal = {Appl. Math. Comput.},
volume = {219},
number = {15},
pages = {8057--8077},
year = {2013},
url = {https://doi.org/10.1016/j.amc.2013.02.041},
doi = {10.1016/J.AMC.2013.02.041},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/DumbserC13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraMDDX13,
author = {Dinshaw S. Balsara and
Chad D. Meyer and
Michael Dumbser and
Huijing Du and
Zhiliang Xu},
title = {Efficient implementation of {ADER} schemes for Euler and magnetohydrodynamical
flows on structured meshes - Speed comparisons with Runge-Kutta methods},
journal = {J. Comput. Phys.},
volume = {235},
pages = {934--969},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2012.04.051},
doi = {10.1016/J.JCP.2012.04.051},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraMDDX13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserZHB13,
author = {Michael Dumbser and
Olindo Zanotti and
Arturo Hidalgo and
Dinshaw S. Balsara},
title = {{ADER-WENO} finite volume schemes with space-time adaptive mesh refinement},
journal = {J. Comput. Phys.},
volume = {248},
pages = {257--286},
year = {2013},
url = {https://doi.org/10.1016/j.jcp.2013.04.017},
doi = {10.1016/J.JCP.2013.04.017},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserZHB13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/MontecinosCDT12,
author = {Gino I. Montecinos and
Crist{\'{o}}bal E. Castro and
Michael Dumbser and
Eleuterio F. Toro},
title = {Comparison of solvers for the generalized Riemann problem for hyperbolic
systems with source terms},
journal = {J. Comput. Phys.},
volume = {231},
number = {19},
pages = {6472--6494},
year = {2012},
url = {https://doi.org/10.1016/j.jcp.2012.06.011},
doi = {10.1016/J.JCP.2012.06.011},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/MontecinosCDT12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1212-3585,
author = {Michael Dumbser and
Olindo Zanotti and
Arturo Hidalgo and
Dinshaw S. Balsara},
title = {{ADER-WENO} Finite Volume Schemes with Space-Time Adaptive Mesh Refinement},
journal = {CoRR},
volume = {abs/1212.3585},
year = {2012},
url = {http://arxiv.org/abs/1212.3585},
eprinttype = {arXiv},
eprint = {1212.3585},
timestamp = {Mon, 13 Aug 2018 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-1212-3585.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/GassnerDHM11,
author = {Gregor Gassner and
Michael Dumbser and
Florian Hindenlang and
Claus{-}Dieter Munz},
title = {Explicit one-step time discretizations for discontinuous Galerkin
and finite volume schemes based on local predictors},
journal = {J. Comput. Phys.},
volume = {230},
number = {11},
pages = {4232--4247},
year = {2011},
url = {https://doi.org/10.1016/j.jcp.2010.10.024},
doi = {10.1016/J.JCP.2010.10.024},
timestamp = {Thu, 14 Oct 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/GassnerDHM11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DumbserT11,
author = {Michael Dumbser and
Eleuterio F. Toro},
title = {A Simple Extension of the Osher Riemann Solver to Non-conservative
Hyperbolic Systems},
journal = {J. Sci. Comput.},
volume = {48},
number = {1-3},
pages = {70--88},
year = {2011},
url = {https://doi.org/10.1007/s10915-010-9400-3},
doi = {10.1007/S10915-010-9400-3},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/DumbserT11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/HidalgoD11,
author = {Arturo Hidalgo and
Michael Dumbser},
title = {{ADER} Schemes for Nonlinear Systems of Stiff Advection-Diffusion-Reaction
Equations},
journal = {J. Sci. Comput.},
volume = {48},
number = {1-3},
pages = {173--189},
year = {2011},
url = {https://doi.org/10.1007/s10915-010-9426-6},
doi = {10.1007/S10915-010-9426-6},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/HidalgoD11.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraRDM09,
author = {Dinshaw S. Balsara and
Tobias Rumpf and
Michael Dumbser and
Claus{-}Dieter Munz},
title = {Efficient, high accuracy {ADER-WENO} schemes for hydrodynamics and
divergence-free magnetohydrodynamics},
journal = {J. Comput. Phys.},
volume = {228},
number = {7},
pages = {2480--2516},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2008.12.003},
doi = {10.1016/J.JCP.2008.12.003},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraRDM09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ToroHD09,
author = {Eleuterio F. Toro and
Arturo Hidalgo and
Michael Dumbser},
title = {{FORCE} schemes on unstructured meshes {I:} Conservative hyperbolic
systems},
journal = {J. Comput. Phys.},
volume = {228},
number = {9},
pages = {3368--3389},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.01.025},
doi = {10.1016/J.JCP.2009.01.025},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ToroHD09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserZ09,
author = {Michael Dumbser and
Olindo Zanotti},
title = {Very high order P\({}_{\mbox{N}}\)P\({}_{\mbox{M}}\) schemes on unstructured
meshes for the resistive relativistic {MHD} equations},
journal = {J. Comput. Phys.},
volume = {228},
number = {18},
pages = {6991--7006},
year = {2009},
url = {https://doi.org/10.1016/j.jcp.2009.06.009},
doi = {10.1016/J.JCP.2009.06.009},
timestamp = {Sat, 30 Sep 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserZ09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserET08,
author = {Michael Dumbser and
Cedric Enaux and
Eleuterio F. Toro},
title = {Finite volume schemes of very high order of accuracy for stiff hyperbolic
balance laws},
journal = {J. Comput. Phys.},
volume = {227},
number = {8},
pages = {3971--4001},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2007.12.005},
doi = {10.1016/J.JCP.2007.12.005},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserET08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ZhuQSD08,
author = {Jun Zhu and
Jianxian Qiu and
Chi{-}Wang Shu and
Michael Dumbser},
title = {Runge-Kutta discontinuous Galerkin method using {WENO} limiters {II:}
Unstructured meshes},
journal = {J. Comput. Phys.},
volume = {227},
number = {9},
pages = {4330--4353},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2007.12.024},
doi = {10.1016/J.JCP.2007.12.024},
timestamp = {Sun, 12 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/ZhuQSD08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserBTM08,
author = {Michael Dumbser and
Dinshaw S. Balsara and
Eleuterio F. Toro and
Claus{-}Dieter Munz},
title = {A unified framework for the construction of one-step finite volume
and discontinuous Galerkin schemes on unstructured meshes},
journal = {J. Comput. Phys.},
volume = {227},
number = {18},
pages = {8209--8253},
year = {2008},
url = {https://doi.org/10.1016/j.jcp.2008.05.025},
doi = {10.1016/J.JCP.2008.05.025},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserBTM08.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amcs/DumbserM07,
author = {Michael Dumbser and
Claus{-}Dieter Munz},
title = {On Source Terms and Boundary Conditions Using Arbitrary High Order
Discontinuous Galerkin Schemes},
journal = {Int. J. Appl. Math. Comput. Sci.},
volume = {17},
number = {3},
pages = {297--310},
year = {2007},
url = {https://doi.org/10.2478/v10006-007-0024-1},
doi = {10.2478/V10006-007-0024-1},
timestamp = {Wed, 11 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amcs/DumbserM07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserK07,
author = {Michael Dumbser and
Martin K{\"{a}}ser},
title = {Arbitrary high order non-oscillatory finite volume schemes on unstructured
meshes for linear hyperbolic systems},
journal = {J. Comput. Phys.},
volume = {221},
number = {2},
pages = {693--723},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2006.06.043},
doi = {10.1016/J.JCP.2006.06.043},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserK07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/MunzDR07,
author = {Claus{-}Dieter Munz and
Michael Dumbser and
Sabine Roller},
title = {Linearized acoustic perturbation equations for low Mach number flow
with variable density and temperature},
journal = {J. Comput. Phys.},
volume = {224},
number = {1},
pages = {352--364},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.02.022},
doi = {10.1016/J.JCP.2007.02.022},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/MunzDR07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/DumbserKTT07,
author = {Michael Dumbser and
Martin K{\"{a}}ser and
Vladimir A. Titarev and
Eleuterio F. Toro},
title = {Quadrature-free non-oscillatory finite volume schemes on unstructured
meshes for nonlinear hyperbolic systems},
journal = {J. Comput. Phys.},
volume = {226},
number = {1},
pages = {204--243},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.04.004},
doi = {10.1016/J.JCP.2007.04.004},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/DumbserKTT07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/BalsaraAMD07,
author = {Dinshaw S. Balsara and
Christoph Altmann and
Claus{-}Dieter Munz and
Michael Dumbser},
title = {A sub-cell based indicator for troubled zones in {RKDG} schemes and
a novel class of hybrid {RKDG+HWENO} schemes},
journal = {J. Comput. Phys.},
volume = {226},
number = {1},
pages = {586--620},
year = {2007},
url = {https://doi.org/10.1016/j.jcp.2007.04.032},
doi = {10.1016/J.JCP.2007.04.032},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/BalsaraAMD07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/TaubeDBM07,
author = {Arne Taube and
Michael Dumbser and
Dinshaw S. Balsara and
Claus{-}Dieter Munz},
title = {Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic
Equations},
journal = {J. Sci. Comput.},
volume = {30},
number = {3},
pages = {441--464},
year = {2007},
url = {https://doi.org/10.1007/s10915-006-9101-0},
doi = {10.1007/S10915-006-9101-0},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/TaubeDBM07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/DumbserM06,
author = {Michael Dumbser and
Claus{-}Dieter Munz},
title = {Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes},
journal = {J. Sci. Comput.},
volume = {27},
number = {1-3},
pages = {215--230},
year = {2006},
url = {https://doi.org/10.1007/s10915-005-9025-0},
doi = {10.1007/S10915-005-9025-0},
timestamp = {Tue, 06 Jun 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/DumbserM06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
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