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2020 – today
- 2024
[j87]Michael Dumbser, Olindo Zanotti, Elena Gaburro, Ilya Peshkov:
A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. J. Comput. Phys. 504: 112875 (2024)- [j86]Walter Boscheri, Michael Dumbser, Pierre-Henri Maire:
A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics. SIAM J. Sci. Comput. 46(4): 2224- (2024) - [i38]Laura Río-Martín, Firas Dhaouadi, Michael Dumbser:
An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model. CoRR abs/2403.18724 (2024) - [i37]Davide Ferrari, Ilya Peshkov, Evgeniy I. Romenski, Michael Dumbser:
A unified SHTC multiphase model of continuum mechanics. CoRR abs/2403.19298 (2024) - [i36]Walter Boscheri, Saray Busto, Michael Dumbser:
An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes. CoRR abs/2405.13441 (2024) - [i35]Dinshaw S. Balsara, Deepak Bhoriya
, Olindo Zanotti, Michael Dumbser:
Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations. CoRR abs/2406.05450 (2024) - [i34]Michael Dumbser, Olindo Zanotti, Gabriella Puppo:
A monolithic first-order BSSNOK formulation of the Einstein-Euler equations and its solution with path-conservative finite difference CWENO schemes. CoRR abs/2406.12055 (2024) - [i33]Michael Dumbser, Olindo Zanotti, Ilya Peshkov:
High order discontinuous Galerkin schemes with subcell finite volume limiter and AMR for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations. CoRR abs/2406.15798 (2024) - [i32]Enrico Zampa, Michael Dumbser:
An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements. CoRR abs/2407.10163 (2024) - [i31]Firas Dhaouadi, Michael Dumbser, Sergey L. Gavrilyuk:
A first-order hyperbolic reformulation of the Cahn-Hilliard equation. CoRR abs/2408.03862 (2024) - 2023
- [j85]Saray Busto, Michael Dumbser, Laura Río-Martín:
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. Appl. Math. Comput. 437: 127539 (2023) - [j84]Rémi Abgrall, Saray Busto, Michael Dumbser:
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. Appl. Math. Comput. 440: 127629 (2023) - [j83]Michael Dumbser, Saray Busto, M. Elena Vázquez-Cendón, Ilya Peshkov:
Preface for the special issue "Hyperbolic PDE in computational physics: Advanced mathematical models and structure-preserving numerics". Appl. Math. Comput. 450: 127994 (2023) - [j82]Francesco Fambri, Enrico Zampa, Saray Busto, Laura Río-Martín, Florian Hindenlang, Eric Sonnendrücker, Michael Dumbser:
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. J. Comput. Phys. 493: 112493 (2023) - [j81]Alessia Lucca, Saray Busto, Lucas O. Müller, Eleuterio F. Toro, Michael Dumbser:
A semi-implicit finite volume scheme for blood flow in elastic and viscoelastic vessels. J. Comput. Phys. 495: 112530 (2023) - [j80]Simone Chiocchetti, Michael Dumbser:
An Exactly Curl-Free Staggered Semi-Implicit Finite Volume Scheme for a First Order Hyperbolic Model of Viscous Two-Phase Flows with Surface Tension. J. Sci. Comput. 94(1): 24 (2023) - [j79]Andrea Thomann, Michael Dumbser:
Thermodynamically Compatible Discretization of a Compressible Two-Fluid Model with Two Entropy Inequalities. J. Sci. Comput. 97(1): 9 (2023) - [j78]Saray Busto, Michael Dumbser:
A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics. SIAM J. Numer. Anal. 61(1): 343-364 (2023) - [i30]Saray Busto, Michael Dumbser:
A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. CoRR abs/2301.08282 (2023) - [i29]Saray Busto, Laura Río-Martín, María Elena Vázquez-Cendón, Michael Dumbser:
A semi-implicit hybrid finite volume / finite element scheme for all Mach number flows on staggered unstructured meshes. CoRR abs/2301.08357 (2023) - [i28]Saray Busto, Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski:
On thermodynamically compatible finite volume schemes for continuum mechanics. CoRR abs/2301.08358 (2023) - [i27]Saray Busto, Michael Dumbser:
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. CoRR abs/2301.08823 (2023) - [i26]Saray Busto, Michael Dumbser, Laura Río-Martín:
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations. CoRR abs/2301.09601 (2023) - [i25]Alessia Lucca, Saray Busto, Michael Dumbser:
An implicit staggered hybrid finite volume/finite element solver for the incompressible Navier-Stokes equations. CoRR abs/2302.05688 (2023) - [i24]Francesco Fambri, Enrico Zampa, Saray Busto, Laura Río-Martín, Florian Hindenlang, Eric Sonnendrücker, Michael Dumbser:
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume/finite element scheme for the incompressible MHD equations. CoRR abs/2305.06497 (2023) - [i23]Laura Río-Martín, Michael Dumbser:
High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows. CoRR abs/2305.10318 (2023) - [i22]Walter Boscheri, Michael Dumbser, Pierre-Henri Maire:
A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics. CoRR abs/2306.11651 (2023) - [i21]Michael Dumbser, Olindo Zanotti, Elena Gaburro, Ilya Peshkov:
A well-balanced discontinuous Galerkin method for the first-order Z4 formulation of the Einstein-Euler system. CoRR abs/2307.06629 (2023) - 2022
- [j77]Firas Dhaouadi, Michael Dumbser:
A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach. J. Comput. Phys. 470: 111544 (2022) - [j76]Ernesto Guerrero Fernández, Manuel Jesús Castro Díaz, Michael Dumbser, Tomás Morales de Luna:
An Arbitrary High Order Well-Balanced ADER-DG Numerical Scheme for the Multilayer Shallow-Water Model with Variable Density. J. Sci. Comput. 90(1): 52 (2022) - [j75]Saray Busto, Michael Dumbser:
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows. J. Sci. Comput. 93(2): 56 (2022) - [j74]Ferdinand Thein, Evgeniy I. Romenski, Michael Dumbser:
Exact and Numerical Solutions of the Riemann Problem for a Conservative Model of Compressible Two-Phase Flows. J. Sci. Comput. 93(3): 83 (2022) - [j73]Saray Busto, Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski:
On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics. SIAM J. Sci. Comput. 44(1): 1723- (2022) - [i20]Walter Boscheri, Michael Dumbser, Elena Gaburro:
Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes. CoRR abs/2205.14673 (2022) - [i19]Simone Chiocchetti, Michael Dumbser:
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension. CoRR abs/2208.05893 (2022) - 2021
- [j72]Saray Busto, Laura Río-Martín, M. Elena Vázquez-Cendón, Michael Dumbser:
A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes. Appl. Math. Comput. 402: 126117 (2021) - [j71]Walter Boscheri, Michael Dumbser, Matteo Ioriatti, Ilya Peshkov, Evgeniy I. Romenski:
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. J. Comput. Phys. 424: 109866 (2021) - [j70]Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser:
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. J. Comput. Phys. 426: 109898 (2021) - [j69]Elena Gaburro, Michael Dumbser:
A Posteriori Subcell Finite Volume Limiter for General PNPM Schemes: Applications from Gasdynamics to Relativistic Magnetohydrodynamics. J. Sci. Comput. 86(3): 37 (2021) - [j68]Saray Busto, Michael Dumbser, Cipriano Escalante, Nicolas Favrie, Sergey L. Gavrilyuk:
On High Order ADER Discontinuous Galerkin Schemes for First Order Hyperbolic Reformulations of Nonlinear Dispersive Systems. J. Sci. Comput. 87(2): 48 (2021) - [j67]Saray Busto, Michael Dumbser, Sergey L. Gavrilyuk, Kseniya Ivanova:
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows. J. Sci. Comput. 88(1): 28 (2021) - [j66]Elena Gaburro, Manuel J. Castro, Michael Dumbser:
A Well Balanced Finite Volume Scheme for General Relativity. SIAM J. Sci. Comput. 43(6): B1226-B1251 (2021) - [i18]Elena Gaburro, Manuel J. Castro, Michael Dumbser:
A well balanced finite volume scheme for general relativity. CoRR abs/2108.02960 (2021) - 2020
- [j65]Anne Reinarz, Dominic Etienne Charrier, Michael Bader, Luke Bovard, Michael Dumbser, Kenneth Duru, Francesco Fambri, Alice-Agnes Gabriel, Jean-Matthieu Gallard, Sven Köppel, Lukas Krenz, Leonhard Rannabauer, Luciano Rezzolla, Philipp Samfass, Maurizio Tavelli, Tobias Weinzierl:
ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. Comput. Phys. Commun. 254: 107251 (2020) - [j64]Michael Dumbser, Francesco Fambri, Elena Gaburro, Anne Reinarz:
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. J. Comput. Phys. 404 (2020) - [j63]Elena Gaburro, Walter Boscheri, Simone Chiocchetti, Christian Klingenberg, Volker Springel, Michael Dumbser:
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. J. Comput. Phys. 407: 109167 (2020) - [j62]Alfredo Bermúdez, Saray Busto, Michael Dumbser, Jose Luis Ferrín, Laura Saavedra, M. Elena Vázquez-Cendón:
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows. J. Comput. Phys. 421: 109743 (2020) - [j61]Maurizio Tavelli, Simone Chiocchetti, Evgeniy I. Romenski, Alice-Agnes Gabriel, Michael Dumbser:
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. J. Comput. Phys. 422: 109758 (2020) - [j60]Matteo Ioriatti, Michael Dumbser, Raphaël Loubère:
A Staggered Semi-implicit Discontinuous Galerkin Scheme with a Posteriori Subcell Finite Volume Limiter for the Euler Equations of Gasdynamics. J. Sci. Comput. 83(2): 27 (2020) - [i17]Friedemann Kemm, Elena Gaburro, Ferdinand Thein, Michael Dumbser:
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model. CoRR abs/2001.10326 (2020) - [i16]Simone Chiocchetti, Ilya Peshkov, Sergey L. Gavrilyuk, Michael Dumbser:
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. CoRR abs/2002.08818 (2020) - [i15]Maurizio Tavelli, Simone Chiocchetti, Evgeniy I. Romenski, Alice-Agnes Gabriel, Michael Dumbser:
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. CoRR abs/2003.02760 (2020) - [i14]Michael Dumbser, Simone Chiocchetti, Ilya Peshkov:
On numerical methods for hyperbolic PDE with curl involutions. CoRR abs/2003.02799 (2020) - [i13]Francesco Lohengrin Romeo, Michael Dumbser, Maurizio Tavelli:
A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. CoRR abs/2003.06891 (2020) - [i12]Caterina Bassi, Luca Bonaventura, Saray Busto, Michael Dumbser:
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies. CoRR abs/2003.14309 (2020) - [i11]Caterina Bassi, Saray Busto, Michael Dumbser:
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. CoRR abs/2004.03257 (2020) - [i10]Walter Boscheri, Michael Dumbser, Matteo Ioriatti, Ilya Peshkov, Evgeniy I. Romenski:
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. CoRR abs/2005.04296 (2020) - [i9]Dinshaw S. Balsara, Roger Käppeli, Walter Boscheri, Michael Dumbser:
Curl constraint-preserving reconstruction and the guidance it gives for mimetic scheme design. CoRR abs/2009.03522 (2020) - [i8]Elena Gaburro, Michael Dumbser:
A posteriori subcell finite volume limiter for general PNPM schemes: applications from gasdynamics to relativistic magnetohydrodynamics. CoRR abs/2010.04853 (2020) - [i7]Ilya Peshkov, Michael Dumbser, Walter Boscheri, Evgeniy I. Romenski, Simone Chiocchetti, Matteo Ioriatti:
Modeling solid-fluid transformations in non-Newtonian viscoplastic flows with a unified flow theory. CoRR abs/2012.07656 (2020)
2010 – 2019
- 2019
- [j59]Walter Boscheri, Michael Dumbser, Maurizio Righetti:
FORCE schemes on moving unstructured meshes for hyperbolic systems. Comput. Math. Appl. 78(2): 362-380 (2019) - [j58]Dominic Etienne Charrier, Benjamin Hazelwood, Ekaterina O. Tutlyaeva, Michael Bader, Michael Dumbser, Andrey Kudryavtsev, Alexander A. Moskovsky, Tobias Weinzierl:
Studies on the energy and deep memory behaviour of a cache-oblivious, task-based hyperbolic PDE solver. Int. J. High Perform. Comput. Appl. 33(5) (2019) - [j57]Maurizio Tavelli, Michael Dumbser, Dominic Etienne Charrier, Leonhard Rannabauer, Tobias Weinzierl, Michael Bader:
A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. J. Comput. Phys. 386: 158-189 (2019) - [j56]Ilya Peshkov, Walter Boscheri, Raphaël Loubère, Evgeniy I. Romenski, Michael Dumbser:
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. J. Comput. Phys. 387: 481-521 (2019) - [j55]Cipriano Escalante, Michael Dumbser, Manuel Jesús Castro Díaz:
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes. J. Comput. Phys. 394: 385-416 (2019) - [i6]Anne Reinarz, Dominic Etienne Charrier, Michael Bader, Luke Bovard, Michael Dumbser, Kenneth Duru, Francesco Fambri, Alice-Agnes Gabriel, Jean-Mathieu Gallard, Sven Köppel, Lukas Krenz, Leonhard Rannabauer, Luciano Rezzolla, Philipp Samfass, Maurizio Tavelli, Tobias Weinzierl:
ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems. CoRR abs/1905.07987 (2019) - [i5]Saray Busto, Maurizio Tavelli, Walter Boscheri, Michael Dumbser:
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems. CoRR abs/1906.01460 (2019) - [i4]Michael Dumbser, Francesco Fambri, Elena Gaburro:
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. CoRR abs/1909.03455 (2019) - [i3]Saray Busto, Simone Chiocchetti, Michael Dumbser, Elena Gaburro, Ilya Peshkov:
High order ADER schemes for continuum mechanics. CoRR abs/1912.01964 (2019) - [i2]Giulia Bertaglia, Matteo Ioriatti, Alessandro Valiani, Michael Dumbser, Valerio Caleffi:
Numerical methods for hydraulic transients in visco-elastic pipes. CoRR abs/1912.03121 (2019) - 2018
- [j54]Michael Dumbser, Francesco Fambri, Maurizio Tavelli, Michael Bader, Tobias Weinzierl:
Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine. Axioms 7(3): 63 (2018) - [j53]Walter Boscheri, Michael Dumbser, Raphaël Loubère, Pierre-Henri Maire:
A second-order cell-centered Lagrangian ADER-MOOD finite volume scheme on multidimensional unstructured meshes for hydrodynamics. J. Comput. Phys. 358: 103-129 (2018) - [j52]Maurizio Tavelli, Michael Dumbser:
Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. J. Comput. Phys. 366: 386-414 (2018) - [j51]Michael Dumbser, Francesco Fambri, Isabella Furci, Mariarosa Mazza, Stefano Serra-Capizzano, Maurizio Tavelli:
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results. Numer. Linear Algebra Appl. 25(5) (2018) - [j50]Nadezhda S. Smirnova, Michael Dumbser, Mikhail N. Petrov, Alexander V. Chikitkin, Evgeniy I. Romenski:
A Flux Splitting Method for the SHTC Model for High-performance Simulations of Two-phase Flows. Supercomput. Front. Innov. 5(3): 83-87 (2018) - 2017
- [j49]Francesco Fambri, Michael Dumbser, Olindo Zanotti:
Space-time adaptive ADER-DG schemes for dissipative flows: Compressible Navier-Stokes and resistive MHD equations. Comput. Phys. Commun. 220: 297-318 (2017) - [j48]Maurizio Tavelli, Michael Dumbser:
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. J. Comput. Phys. 341: 341-376 (2017) - [j47]Walter Boscheri, Michael Dumbser:
Arbitrary-Lagrangian-Eulerian Discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. J. Comput. Phys. 346: 449-479 (2017) - [j46]Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski, Olindo Zanotti:
High order ADER schemes for a unified first order hyperbolic formulation of Newtonian continuum mechanics coupled with electro-dynamics. J. Comput. Phys. 348: 298-342 (2017) - [j45]Michael Dumbser, Walter Boscheri, Matteo Semplice, Giovanni Russo:
Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j44]Michael Dumbser, Gregor Gassner, Christian Rohde, Sabine Roller:
Preface to the special issue "Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations". Appl. Math. Comput. 272: 235-236 (2016) - [j43]Michael Dumbser, Matteo Facchini:
A space-time discontinuous Galerkin method for Boussinesq-type equations. Appl. Math. Comput. 272: 336-346 (2016) - [j42]Michael Dumbser, Vincenzo Casulli:
A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. Appl. Math. Comput. 272: 479-497 (2016) - [j41]Dinshaw S. Balsara, Jeaniffer Vides, Katharine F. Gurski, Boniface Nkonga, Michael Dumbser, Sudip Garain, Edouard Audit:
A two-dimensional Riemann solver with self-similar sub-structure - Alternative formulation based on least squares projection. J. Comput. Phys. 304: 138-161 (2016) - [j40]Michael Dumbser, Dinshaw S. Balsara:
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. J. Comput. Phys. 304: 275-319 (2016) - [j39]Michael Dumbser, Ilya Peshkov, Evgeniy I. Romenski, Olindo Zanotti:
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: Viscous heat-conducting fluids and elastic solids. J. Comput. Phys. 314: 824-862 (2016) - [j38]Michael Dumbser, Raphaël Loubère:
A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes. J. Comput. Phys. 319: 163-199 (2016) - [j37]Maurizio Tavelli, Michael Dumbser:
A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes. J. Comput. Phys. 319: 294-323 (2016) - [j36]Walter Boscheri, Michael Dumbser:
An Efficient Quadrature-Free Formulation for High Order Arbitrary-Lagrangian-Eulerian ADER-WENO Finite Volume Schemes on Unstructured Meshes. J. Sci. Comput. 66(1): 240-274 (2016) - [j35]Claus R. Goetz, Michael Dumbser:
A Novel Solver for the Generalized Riemann Problem Based on a Simplified LeFloch-Raviart Expansion and a Local Space-Time Discontinuous Galerkin Formulation. J. Sci. Comput. 69(2): 805-840 (2016) - 2015
- [j34]Nguyen T. Nguyen, Michael Dumbser:
A path-conservative finite volume scheme for compressible multi-phase flows with surface tension. Appl. Math. Comput. 271: 959-978 (2015) - [j33]Olindo Zanotti, Michael Dumbser:
A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement. Comput. Phys. Commun. 188: 110-127 (2015) - [j32]Dinshaw S. Balsara, Michael Dumbser:
Multidimensional Riemann problem with self-similar internal structure. Part II - Application to hyperbolic conservation laws on unstructured meshes. J. Comput. Phys. 287: 269-292 (2015) - [j31]Walter Boscheri, Michael Dumbser, Olindo Zanotti:
High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. J. Comput. Phys. 291: 120-150 (2015) - [j30]Walter Boscheri, Raphaël Loubère, Michael Dumbser:
Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws. J. Comput. Phys. 292: 56-87 (2015) - [j29]Dinshaw S. Balsara, Michael Dumbser:
Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers. J. Comput. Phys. 299: 687-715 (2015) - [c1]Nguyen T. Nguyen, Michael Dumbser:
A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension. ACOMP 2015: 112-117 - 2014
- [j28]Maurizio Tavelli, Michael Dumbser:
A high order semi-implicit discontinuous Galerkin method for the two dimensional shallow water equations on staggered unstructured meshes. Appl. Math. Comput. 234: 623-644 (2014) - [j27]Maurizio Tavelli, Michael Dumbser:
A staggered semi-implicit discontinuous Galerkin method for the two dimensional incompressible Navier-Stokes equations. Appl. Math. Comput. 248: 70-92 (2014) - [j26]Vladimir A. Titarev, Michael Dumbser, Sergey V. Utyuzhnikov:
Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions. J. Comput. Phys. 256: 17-33 (2014) - [j25]Dinshaw S. Balsara, Michael Dumbser, Rémi Abgrall:
Multidimensional HLLC Riemann solver for unstructured meshes - With application to Euler and MHD flows. J. Comput. Phys. 261: 172-208 (2014) - [j24]Walter Boscheri, Dinshaw S. Balsara, Michael Dumbser:
Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. J. Comput. Phys. 267: 112-138 (2014) - [j23]Diego Avesani, Michael Dumbser, Alberto Bellin:
A new class of Moving-Least-Squares WENO-SPH schemes. J. Comput. Phys. 270: 278-299 (2014) - [j22]Walter Boscheri, Michael Dumbser:
A direct Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. J. Comput. Phys. 275: 484-523 (2014) - [j21]Michael Dumbser, Olindo Zanotti, Raphaël Loubère, Steven Diot:
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws. J. Comput. Phys. 278: 47-75 (2014) - 2013
- [j20]Michael Dumbser, Vincenzo Casulli:
A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations. Appl. Math. Comput. 219(15): 8057-8077 (2013) - [j19]Dinshaw S. Balsara, Chad D. Meyer, Michael Dumbser, Huijing Du, Zhiliang Xu:
Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes - Speed comparisons with Runge-Kutta methods. J. Comput. Phys. 235: 934-969 (2013) - [j18]Michael Dumbser, Olindo Zanotti, Arturo Hidalgo, Dinshaw S. Balsara:
ADER-WENO finite volume schemes with space-time adaptive mesh refinement. J. Comput. Phys. 248: 257-286 (2013) - 2012
- [j17]Gino I. Montecinos, Cristóbal E. Castro, Michael Dumbser, Eleuterio F. Toro:
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. J. Comput. Phys. 231(19): 6472-6494 (2012) - [i1]Michael Dumbser, Olindo Zanotti, Arturo Hidalgo, Dinshaw S. Balsara:
ADER-WENO Finite Volume Schemes with Space-Time Adaptive Mesh Refinement. CoRR abs/1212.3585 (2012) - 2011
- [j16]Gregor Gassner, Michael Dumbser, Florian Hindenlang, Claus-Dieter Munz:
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors. J. Comput. Phys. 230(11): 4232-4247 (2011) - [j15]Michael Dumbser, Eleuterio F. Toro:
A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems. J. Sci. Comput. 48(1-3): 70-88 (2011) - [j14]Arturo Hidalgo, Michael Dumbser:
ADER Schemes for Nonlinear Systems of Stiff Advection-Diffusion-Reaction Equations. J. Sci. Comput. 48(1-3): 173-189 (2011)
2000 – 2009
- 2009
- [j13]Dinshaw S. Balsara, Tobias Rumpf, Michael Dumbser, Claus-Dieter Munz:
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics. J. Comput. Phys. 228(7): 2480-2516 (2009) - [j12]Eleuterio F. Toro, Arturo Hidalgo, Michael Dumbser:
FORCE schemes on unstructured meshes I: Conservative hyperbolic systems. J. Comput. Phys. 228(9): 3368-3389 (2009) - [j11]Michael Dumbser, Olindo Zanotti:
Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations. J. Comput. Phys. 228(18): 6991-7006 (2009) - 2008
- [j10]Michael Dumbser, Cedric Enaux, Eleuterio F. Toro:
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. J. Comput. Phys. 227(8): 3971-4001 (2008) - [j9]Jun Zhu, Jianxian Qiu, Chi-Wang Shu, Michael Dumbser:
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. J. Comput. Phys. 227(9): 4330-4353 (2008) - [j8]Michael Dumbser, Dinshaw S. Balsara, Eleuterio F. Toro, Claus-Dieter Munz:
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. J. Comput. Phys. 227(18): 8209-8253 (2008) - 2007
- [j7]Michael Dumbser, Claus-Dieter Munz:
On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes. Int. J. Appl. Math. Comput. Sci. 17(3): 297-310 (2007) - [j6]Michael Dumbser, Martin Käser:
Arbitrary high order non-oscillatory finite volume schemes on unstructured meshes for linear hyperbolic systems. J. Comput. Phys. 221(2): 693-723 (2007) - [j5]Claus-Dieter Munz, Michael Dumbser, Sabine Roller:
Linearized acoustic perturbation equations for low Mach number flow with variable density and temperature. J. Comput. Phys. 224(1): 352-364 (2007) - [j4]Michael Dumbser, Martin Käser, Vladimir A. Titarev, Eleuterio F. Toro:
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J. Comput. Phys. 226(1): 204-243 (2007) - [j3]Dinshaw S. Balsara, Christoph Altmann, Claus-Dieter Munz, Michael Dumbser:
A sub-cell based indicator for troubled zones in RKDG schemes and a novel class of hybrid RKDG+HWENO schemes. J. Comput. Phys. 226(1): 586-620 (2007) - [j2]Arne Taube, Michael Dumbser, Dinshaw S. Balsara, Claus-Dieter Munz:
Arbitrary High-Order Discontinuous Galerkin Schemes for the Magnetohydrodynamic Equations. J. Sci. Comput. 30(3): 441-464 (2007) - 2006
- [j1]Michael Dumbser, Claus-Dieter Munz:
Building Blocks for Arbitrary High Order Discontinuous Galerkin Schemes. J. Sci. Comput. 27(1-3): 215-230 (2006)
Coauthor Index
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