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@article{DBLP:journals/jcphy/FerrariPRD25,
author = {Davide Ferrari and
Ilya Peshkov and
Evgeniy I. Romenski and
Michael Dumbser},
title = {A unified {HTC} multiphase model of continuum mechanics},
journal = {J. Comput. Phys.},
volume = {521},
pages = {113553},
year = {2025},
url = {https://doi.org/10.1016/j.jcp.2024.113553},
doi = {10.1016/J.JCP.2024.113553},
timestamp = {Mon, 09 Dec 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/FerrariPRD25.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@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/jcphy/LukacovaMedvidovaPT24,
author = {M{\'{a}}ria Luk{\'{a}}cov{\'{a}}{-}Medvid'ov{\'{a}} and
Ilya Peshkov and
Andrea Thomann},
title = {An implicit-explicit solver for a two-fluid single-temperature model},
journal = {J. Comput. Phys.},
volume = {498},
pages = {112696},
year = {2024},
url = {https://doi.org/10.1016/j.jcp.2023.112696},
doi = {10.1016/J.JCP.2023.112696},
timestamp = {Fri, 26 Jan 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/jcphy/LukacovaMedvidovaPT24.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-2405-04116,
author = {Ondrej Kincl and
Ilya Peshkov and
Walter Boscheri},
title = {Semi-implicit Lagrangian Voronoi Approximation for the incompressible
Navier-Stokes equations},
journal = {CoRR},
volume = {abs/2405.04116},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2405.04116},
doi = {10.48550/ARXIV.2405.04116},
eprinttype = {arXiv},
eprint = {2405.04116},
timestamp = {Fri, 07 Jun 2024 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2405-04116.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-2410-14564,
author = {Ondrej Kincl and
Ilya Peshkov and
Walter Boscheri},
title = {Semi-Implicit Lagrangian Voronoi Approximation for Compressible Viscous
Fluid Flows},
journal = {CoRR},
volume = {abs/2410.14564},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2410.14564},
doi = {10.48550/ARXIV.2410.14564},
eprinttype = {arXiv},
eprint = {2410.14564},
timestamp = {Wed, 27 Nov 2024 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2410-14564.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2411-06595,
author = {Michael Dumbser and
Alessia Lucca and
Ilya Peshkov and
Olindo Zanotti},
title = {Variational derivation and compatible discretizations of the Maxwell-GLM
system},
journal = {CoRR},
volume = {abs/2411.06595},
year = {2024},
url = {https://doi.org/10.48550/arXiv.2411.06595},
doi = {10.48550/ARXIV.2411.06595},
eprinttype = {arXiv},
eprint = {2411.06595},
timestamp = {Wed, 01 Jan 2025 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/corr/abs-2411-06595.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/amc/KinclPPK23,
author = {Ondrej Kincl and
Ilya Peshkov and
Michal Pavelka and
V{\'{a}}clav Klika},
title = {Unified description of fluids and solids in Smoothed Particle Hydrodynamics},
journal = {Appl. Math. Comput.},
volume = {439},
pages = {127579},
year = {2023},
url = {https://doi.org/10.1016/j.amc.2022.127579},
doi = {10.1016/J.AMC.2022.127579},
timestamp = {Wed, 07 Dec 2022 00:00:00 +0100},
biburl = {https://dblp.org/rec/journals/amc/KinclPPK23.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-2306-11515,
author = {M{\'{a}}ria Luk{\'{a}}cov{\'{a}}{-}Medvid'ov{\'{a}} and
Ilya Peshkov and
Andrea Thomann},
title = {An implicit-explicit solver for a two-fluid single-temperature model},
journal = {CoRR},
volume = {abs/2306.11515},
year = {2023},
url = {https://doi.org/10.48550/arXiv.2306.11515},
doi = {10.48550/ARXIV.2306.11515},
eprinttype = {arXiv},
eprint = {2306.11515},
timestamp = {Fri, 23 Jun 2023 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2306-11515.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/BoscheriCP22,
author = {Walter Boscheri and
Simone Chiocchetti and
Ilya Peshkov},
title = {A cell-centered implicit-explicit Lagrangian scheme for a unified
model of nonlinear continuum mechanics on unstructured meshes},
journal = {J. Comput. Phys.},
volume = {451},
pages = {110852},
year = {2022},
url = {https://doi.org/10.1016/j.jcp.2021.110852},
doi = {10.1016/J.JCP.2021.110852},
timestamp = {Sun, 02 Oct 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/jcphy/BoscheriCP22.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-2207-00063,
author = {Ondrej Kincl and
Ilya Peshkov and
Michal Pavelka and
V{\'{a}}clav Klika},
title = {Unified description of fluids and solids in Smoothed Particle Hydrodynamics},
journal = {CoRR},
volume = {abs/2207.00063},
year = {2022},
url = {https://doi.org/10.48550/arXiv.2207.00063},
doi = {10.48550/ARXIV.2207.00063},
eprinttype = {arXiv},
eprint = {2207.00063},
timestamp = {Wed, 06 Jul 2022 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2207-00063.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}
}
@inproceedings{DBLP:conf/iccsa/RomenskiRP21,
author = {Evgeniy I. Romenski and
Galina V. Reshetova and
Ilya Peshkov},
editor = {Osvaldo Gervasi and
Beniamino Murgante and
Sanjay Misra and
Chiara Garau and
Ivan Blecic and
David Taniar and
Bernady O. Apduhan and
Ana Maria A. C. Rocha and
Eufemia Tarantino and
Carmelo Maria Torre},
title = {Computational Model for Compressible Two-Phase Flow in Deformed Porous
Medium},
booktitle = {Computational Science and Its Applications - {ICCSA} 2021 - 21st International
Conference, Cagliari, Italy, September 13-16, 2021, Proceedings, Part
{I}},
series = {Lecture Notes in Computer Science},
volume = {12949},
pages = {224--236},
publisher = {Springer},
year = {2021},
url = {https://doi.org/10.1007/978-3-030-86653-2\_16},
doi = {10.1007/978-3-030-86653-2\_16},
timestamp = {Mon, 20 Sep 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/conf/iccsa/RomenskiRP21.bib},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{DBLP:journals/corr/abs-2107-06038,
author = {Walter Boscheri and
Simone Chiocchetti and
Ilya Peshkov},
title = {A cell-centered implicit-explicit Lagrangian scheme for a unified
model of nonlinear continuum mechanics on unstructured meshes},
journal = {CoRR},
volume = {abs/2107.06038},
year = {2021},
url = {https://arxiv.org/abs/2107.06038},
eprinttype = {arXiv},
eprint = {2107.06038},
timestamp = {Wed, 21 Jul 2021 01:00:00 +0200},
biburl = {https://dblp.org/rec/journals/corr/abs-2107-06038.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-2003-02799,
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-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-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/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/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/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/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}
}
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