@article{DBLP:journals/adcm/LamerandAGRS24,
author = {Louis Lam{\'{e}}rand and
Didier Auroux and
Philippe Ghendrih and
Francesca Rapetti and
Eric Serre},
title = {Inverse problem for determining free parameters of a reduced turbulent
transport model for tokamak plasma},
journal = {Adv. Comput. Math.},
volume = {50},
number = {3},
pages = {39},
year = {2024},
url = {https://doi.org/10.1007/s10444-024-10135-6},
doi = {10.1007/S10444-024-10135-6},
timestamp = {Fri, 31 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/LamerandAGRS24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/RodriguezCSR24,
author = {Ana Alonso Rodr{\'{\i}}guez and
Jessika Cama{\~{n}}o and
Eduardo De Los Santos and
Francesca Rapetti},
title = {Weights for moments' geometrical localization: a canonical isomorphism},
journal = {Adv. Comput. Math.},
volume = {50},
number = {4},
pages = {86},
year = {2024},
url = {https://doi.org/10.1007/s10444-024-10183-y},
doi = {10.1007/S10444-024-10183-Y},
timestamp = {Mon, 09 Dec 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/adcm/RodriguezCSR24.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/adcm/ZampaRR23,
author = {Enrico Zampa and
Ana Alonso Rodr{\'{\i}}guez and
Francesca Rapetti},
title = {Using the {FES} framework to derive new physical degrees of freedom
for finite element spaces of differential forms},
journal = {Adv. Comput. Math.},
volume = {49},
number = {2},
pages = {17},
year = {2023},
url = {https://doi.org/10.1007/s10444-022-10001-3},
doi = {10.1007/S10444-022-10001-3},
timestamp = {Sun, 06 Oct 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/adcm/ZampaRR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/RodriguezBR23,
author = {Ana Alonso Rodr{\'{\i}}guez and
Ludovico Bruni Bruno and
Francesca Rapetti},
title = {Whitney edge elements and the Runge phenomenon},
journal = {J. Comput. Appl. Math.},
volume = {427},
pages = {115117},
year = {2023},
url = {https://doi.org/10.1016/j.cam.2023.115117},
doi = {10.1016/J.CAM.2023.115117},
timestamp = {Wed, 01 Nov 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcam/RodriguezBR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/BoulbeFGR23,
author = {C{\'{e}}dric Boulbe and
Blaise Faugeras and
Guillaume Gros and
Francesca Rapetti},
title = {Tokamak Free-Boundary Plasma Equilibrium Computations in Presence
of Non-Linear Materials},
journal = {J. Sci. Comput.},
volume = {96},
number = {2},
pages = {42},
year = {2023},
url = {https://doi.org/10.1007/s10915-023-02265-8},
doi = {10.1007/S10915-023-02265-8},
timestamp = {Sat, 05 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/BoulbeFGR23.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/RodriguezR21,
author = {Ana Alonso Rodr{\'{\i}}guez and
Francesca Rapetti},
title = {On a generalization of the Lebesgue's constant},
journal = {J. Comput. Phys.},
volume = {428},
pages = {109964},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2020.109964},
doi = {10.1016/J.JCP.2020.109964},
timestamp = {Thu, 11 Feb 2021 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/RodriguezR21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/ElarifFR21,
author = {Ali Elarif and
Blaise Faugeras and
Francesca Rapetti},
title = {Tokamak free-boundary plasma equilibrium computation using finite
elements of class {C0} and {C1} within a mortar element approach},
journal = {J. Comput. Phys.},
volume = {439},
pages = {110388},
year = {2021},
url = {https://doi.org/10.1016/j.jcp.2021.110388},
doi = {10.1016/J.JCP.2021.110388},
timestamp = {Mon, 28 Aug 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/ElarifFR21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/RodriguezRZ21,
author = {Ana Alonso Rodr{\'{\i}}guez and
Francesca Rapetti and
Elena Zappon},
title = {New degrees of freedom for high-order Whitney approximations of Darcy's
flows},
journal = {Numer. Algorithms},
volume = {87},
number = {4},
pages = {1613--1634},
year = {2021},
url = {https://doi.org/10.1007/s11075-020-01022-4},
doi = {10.1007/S11075-020-01022-4},
timestamp = {Thu, 29 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/RodriguezRZ21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/RodriguezR19,
author = {Ana Alonso Rodr{\'{\i}}guez and
Francesca Rapetti},
title = {Some remarks on spanning families and weights for high order Whitney
spaces on simplices},
journal = {Comput. Math. Appl.},
volume = {78},
number = {9},
pages = {2961--2972},
year = {2019},
url = {https://doi.org/10.1016/j.camwa.2019.03.006},
doi = {10.1016/J.CAMWA.2019.03.006},
timestamp = {Mon, 17 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/RodriguezR19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/enumath/RapettiR19,
author = {Francesca Rapetti and
Ana Alonso Rodr{\'{\i}}guez},
editor = {Fred J. Vermolen and
Cornelis Vuik},
title = {High Order Whitney Forms on Simplices and the Question of Potentials},
booktitle = {Numerical Mathematics and Advanced Applications {ENUMATH} 2019 - European
Conference, Egmond aan Zee, The Netherlands, September 30 - October
4},
series = {Lecture Notes in Computational Science and Engineering},
volume = {139},
pages = {1--16},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-3-030-55874-1\_1},
doi = {10.1007/978-3-030-55874-1\_1},
timestamp = {Mon, 28 Aug 2023 21:17:43 +0200},
biburl = {https://dblp.org/rec/conf/enumath/RapettiR19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/enumath/RodriguezBR19,
author = {Ana Alonso Rodr{\'{\i}}guez and
Ludovico Bruni Bruno and
Francesca Rapetti},
editor = {Fred J. Vermolen and
Cornelis Vuik},
title = {Minimal Sets of Unisolvent Weights for High Order Whitney Forms on
Simplices},
booktitle = {Numerical Mathematics and Advanced Applications {ENUMATH} 2019 - European
Conference, Egmond aan Zee, The Netherlands, September 30 - October
4},
series = {Lecture Notes in Computational Science and Engineering},
volume = {139},
pages = {195--203},
publisher = {Springer},
year = {2019},
url = {https://doi.org/10.1007/978-3-030-55874-1\_18},
doi = {10.1007/978-3-030-55874-1\_18},
timestamp = {Mon, 26 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/enumath/RodriguezBR19.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-1911-03616,
author = {Daniele A. Di Pietro and
J{\'{e}}r{\^{o}}me Droniou and
Francesca Rapetti},
title = {Fully discrete polynomial de Rham sequences of arbitrary degree on
polygons and polyhedra},
journal = {CoRR},
volume = {abs/1911.03616},
year = {2019},
url = {http://arxiv.org/abs/1911.03616},
eprinttype = {arXiv},
eprint = {1911.03616},
timestamp = {Sun, 01 Dec 2019 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-1911-03616.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/BonazzoliRV18,
author = {Marcella Bonazzoli and
Francesca Rapetti and
Chiara Venturini},
title = {Dispersion analysis of triangle-based Whitney element methods for
electromagnetic wave propagation},
journal = {Appl. Math. Comput.},
volume = {319},
pages = {274--286},
year = {2018},
url = {https://doi.org/10.1016/j.amc.2017.03.026},
doi = {10.1016/J.AMC.2017.03.026},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/BonazzoliRV18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/cma/BonazzoliDHR18,
author = {Marcella Bonazzoli and
Victorita Dolean and
Fr{\'{e}}d{\'{e}}ric Hecht and
Francesca Rapetti},
title = {An example of explicit implementation strategy and preconditioning
for the high order edge finite elements applied to the time-harmonic
Maxwell's equations},
journal = {Comput. Math. Appl.},
volume = {75},
number = {5},
pages = {1498--1514},
year = {2018},
url = {https://doi.org/10.1016/j.camwa.2017.11.013},
doi = {10.1016/J.CAMWA.2017.11.013},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/cma/BonazzoliDHR18.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/HeumannR17,
author = {Holger Heumann and
Francesca Rapetti},
title = {A finite element method with overlapping meshes for free-boundary
axisymmetric plasma equilibria in realistic geometries},
journal = {J. Comput. Phys.},
volume = {334},
pages = {522--540},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.01.006},
doi = {10.1016/J.JCP.2017.01.006},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/HeumannR17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcphy/PasquettiR17,
author = {Richard Pasquetti and
Francesca Rapetti},
title = {Cubature versus Fekete-Gauss nodes for spectral element methods on
simplicial meshes},
journal = {J. Comput. Phys.},
volume = {347},
pages = {463--466},
year = {2017},
url = {https://doi.org/10.1016/j.jcp.2017.07.022},
doi = {10.1016/J.JCP.2017.07.022},
timestamp = {Wed, 19 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/PasquettiR17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/BonazzoliR17,
author = {Marcella Bonazzoli and
Francesca Rapetti},
title = {High-order finite elements in numerical electromagnetism: degrees
of freedom and generators in duality},
journal = {Numer. Algorithms},
volume = {74},
number = {1},
pages = {111--136},
year = {2017},
url = {https://doi.org/10.1007/s11075-016-0141-8},
doi = {10.1007/S11075-016-0141-8},
timestamp = {Mon, 26 Oct 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/na/BonazzoliR17.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/moc/ChristiansenR16,
author = {Snorre H. Christiansen and
Francesca Rapetti},
title = {On high order finite element spaces of differential forms},
journal = {Math. Comput.},
volume = {85},
number = {298},
pages = {517--548},
year = {2016},
url = {https://doi.org/10.1090/mcom/2995},
doi = {10.1090/MCOM/2995},
timestamp = {Fri, 27 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/moc/ChristiansenR16.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/amc/ChristopheBR15,
author = {Alexandra Christophe and
Yann Le Bihan and
Francesca Rapetti},
title = {A mortar element approach on overlapping non-nested grids: Application
to eddy current non-destructive testing},
journal = {Appl. Math. Comput.},
volume = {267},
pages = {71--82},
year = {2015},
url = {https://doi.org/10.1016/j.amc.2015.05.126},
doi = {10.1016/J.AMC.2015.05.126},
timestamp = {Fri, 21 Feb 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/ChristopheBR15.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/computing/Rapetti13,
author = {Francesca Rapetti},
title = {Electromagnetic quasi-static models applied to transmission lines},
journal = {Computing},
volume = {95},
number = {{S1}},
pages = {599--616},
year = {2013},
url = {https://doi.org/10.1007/s00607-012-0272-2},
doi = {10.1007/S00607-012-0272-2},
timestamp = {Fri, 13 Jan 2023 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/computing/Rapetti13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@inproceedings{DBLP:conf/enumath/ChristopheRSKB13,
author = {Alexandra Christophe and
Francesca Rapetti and
Laurent Santandrea and
Guillaume Krebs and
Yann Le Bihan},
editor = {Assyr Abdulle and
Simone Deparis and
Daniel Kressner and
Fabio Nobile and
Marco Picasso},
title = {Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive
Testing},
booktitle = {Numerical Mathematics and Advanced Applications - {ENUMATH} 2013 -
Proceedings of {ENUMATH} 2013, the 10th European Conference on Numerical
Mathematics and Advanced Applications, Lausanne, Switzerland, August
2013},
series = {Lecture Notes in Computational Science and Engineering},
volume = {103},
pages = {785--793},
publisher = {Springer},
year = {2013},
url = {https://doi.org/10.1007/978-3-319-10705-9\_78},
doi = {10.1007/978-3-319-10705-9\_78},
timestamp = {Mon, 26 Jun 2023 20:48:03 +0200},
biburl = {https://dblp.org/rec/conf/enumath/ChristopheRSKB13.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jcam/RapettiSV12,
author = {Francesca Rapetti and
Alvise Sommariva and
Marco Vianello},
title = {On the generation of symmetric Lebesgue-like points in the triangle},
journal = {J. Comput. Appl. Math.},
volume = {236},
number = {18},
pages = {4925--4932},
year = {2012},
url = {https://doi.org/10.1016/j.cam.2011.11.023},
doi = {10.1016/J.CAM.2011.11.023},
timestamp = {Thu, 23 Jun 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcam/RapettiSV12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/MazzieriR12,
author = {Ilario Mazzieri and
Francesca Rapetti},
title = {Dispersion analysis of triangle-based spectral element methods for
elastic wave propagation},
journal = {Numer. Algorithms},
volume = {60},
number = {4},
pages = {631--650},
year = {2012},
url = {https://doi.org/10.1007/s11075-012-9592-8},
doi = {10.1007/S11075-012-9592-8},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/MazzieriR12.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/mcs/Rapetti10,
author = {Francesca Rapetti},
title = {An overlapping mortar element approach to coupled magneto-mechanical
problems},
journal = {Math. Comput. Simul.},
volume = {80},
number = {8},
pages = {1647--1656},
year = {2010},
url = {https://doi.org/10.1016/j.matcom.2009.02.008},
doi = {10.1016/J.MATCOM.2009.02.008},
timestamp = {Wed, 04 Mar 2020 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/mcs/Rapetti10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/na/PasquettiR10,
author = {Richard Pasquetti and
Francesca Rapetti},
title = {Spectral element methods on unstructured meshes: which interpolation
points?},
journal = {Numer. Algorithms},
volume = {55},
number = {2-3},
pages = {349--366},
year = {2010},
url = {https://doi.org/10.1007/s11075-010-9390-0},
doi = {10.1007/S11075-010-9390-0},
timestamp = {Sat, 25 Apr 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/na/PasquettiR10.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/RapettiB09,
author = {Francesca Rapetti and
Alain Bossavit},
title = {Whitney Forms of Higher Degree},
journal = {{SIAM} J. Numer. Anal.},
volume = {47},
number = {3},
pages = {2369--2386},
year = {2009},
url = {https://doi.org/10.1137/070705489},
doi = {10.1137/070705489},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/RapettiB09.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/PavarinoZPR07,
author = {Luca F. Pavarino and
Elena Zampieri and
Richard Pasquetti and
Francesca Rapetti},
title = {Overlapping Schwarz Methods for Fekete and Gauss-Lobatto Spectral
Elements},
journal = {{SIAM} J. Sci. Comput.},
volume = {29},
number = {3},
pages = {1073--1092},
year = {2007},
url = {https://doi.org/10.1137/060663568},
doi = {10.1137/060663568},
timestamp = {Tue, 07 May 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/PavarinoZPR07.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/jscic/PasquettiR06,
author = {Richard Pasquetti and
Francesca Rapetti},
title = {Spectral Element Methods on Unstructured Meshes: Comparisons and Recent
Advances},
journal = {J. Sci. Comput.},
volume = {27},
number = {1-3},
pages = {377--387},
year = {2006},
url = {https://doi.org/10.1007/s10915-005-9048-6},
doi = {10.1007/S10915-005-9048-6},
timestamp = {Thu, 18 May 2017 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jscic/PasquettiR06.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/BossavitR05,
author = {Alain Bossavit and
Francesca Rapetti},
title = {A Prolongation/Restriction Operator for Whitney Elements on Simplicial
Meshes},
journal = {{SIAM} J. Numer. Anal.},
volume = {43},
number = {5},
pages = {2077--2097},
year = {2005},
url = {https://doi.org/10.1137/040604923},
doi = {10.1137/040604923},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/BossavitR05.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamnum/RapettiDB03,
author = {Francesca Rapetti and
Fran{\c{c}}ois Dubois and
Alain Bossavit},
title = {Discrete Vector Potentials for Nonsimply Connected Three-Dimensional
Domains},
journal = {{SIAM} J. Numer. Anal.},
volume = {41},
number = {4},
pages = {1505--1527},
year = {2003},
url = {https://doi.org/10.1137/S0036142902412646},
doi = {10.1137/S0036142902412646},
timestamp = {Mon, 11 May 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamnum/RapettiDB03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/BouillaultBMR03,
author = {Fr{\'{e}}d{\'{e}}ric Bouillault and
Annalisa Buffa and
Yvon Maday and
Francesca Rapetti},
title = {The Mortar Edge Element Method in Three Dimensions: Application to
Magnetostatics},
journal = {{SIAM} J. Sci. Comput.},
volume = {24},
number = {4},
pages = {1303--1327},
year = {2003},
url = {https://doi.org/10.1137/S1064827501386006},
doi = {10.1137/S1064827501386006},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/siamsc/BouillaultBMR03.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/siamsc/RapettiT01,
author = {Francesca Rapetti and
Andrea Toselli},
title = {A {FETI} Preconditioner for Two Dimensional Edge Element Approximations
of Maxwell's Equations on Nonmatching Grids},
journal = {{SIAM} J. Sci. Comput.},
volume = {23},
number = {1},
pages = {92--108},
year = {2001},
url = {https://doi.org/10.1137/S1064827500366999},
doi = {10.1137/S1064827500366999},
timestamp = {Thu, 30 Jul 2020 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/siamsc/RapettiT01.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
