Busto, Saray; Dumbser, Michael A new thermodynamically compatible finite volume scheme for magnetohydrodynamics. (English) Zbl 07670867 SIAM J. Numer. Anal. 61, No. 1, 343-364 (2023). MSC: 65-XX 35L40 65M08 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, SIAM J. Numer. Anal. 61, No. 1, 343--364 (2023; Zbl 07670867) Full Text: DOI arXiv
Abgrall, Rémi; Busto, Saray; Dumbser, Michael A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics. (English) Zbl 1510.76098 Appl. Math. Comput. 440, Article ID 127629, 40 p. (2023). MSC: 76M12 76M10 65M08 65M12 65M60 76B15 PDFBibTeX XMLCite \textit{R. Abgrall} et al., Appl. Math. Comput. 440, Article ID 127629, 40 p. (2023; Zbl 1510.76098) Full Text: DOI
Busto, Saray; Dumbser, Michael A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. (English) Zbl 1503.65223 J. Sci. Comput. 93, No. 2, Paper No. 56, 40 p. (2022). MSC: 65M60 65L06 65N30 65M12 76F10 76B15 76D05 76N06 76M10 74B20 74S05 80A19 35L02 35Q31 35Q30 35Q79 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, J. Sci. Comput. 93, No. 2, Paper No. 56, 40 p. (2022; Zbl 1503.65223) Full Text: DOI
Busto, Saray; Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy On thermodynamically compatible finite volume schemes for continuum mechanics. (English) Zbl 07556268 SIAM J. Sci. Comput. 44, No. 3, A1723-A1751 (2022). MSC: 65-XX 35L40 65M08 PDFBibTeX XMLCite \textit{S. Busto} et al., SIAM J. Sci. Comput. 44, No. 3, A1723--A1751 (2022; Zbl 07556268) Full Text: DOI
Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. (English) Zbl 07510040 J. Comput. Phys. 426, Article ID 109898, 45 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{S. Chiocchetti} et al., J. Comput. Phys. 426, Article ID 109898, 45 p. (2021; Zbl 07510040) Full Text: DOI arXiv
Gaburro, Elena; Dumbser, Michael A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics. (English) Zbl 1475.65091 J. Sci. Comput. 86, No. 3, Paper No. 37, 41 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M60 65M50 76N15 76W05 76Y05 PDFBibTeX XMLCite \textit{E. Gaburro} and \textit{M. Dumbser}, J. Sci. Comput. 86, No. 3, Paper No. 37, 41 p. (2021; Zbl 1475.65091) Full Text: DOI arXiv
Reinarz, Anne; Charrier, Dominic E.; Bader, Michael; Bovard, Luke; Dumbser, Michael; Duru, Kenneth; Fambri, Francesco; Gabriel, Alice-Agnes; Gallard, Jean-Matthieu; Köppel, Sven; Krenz, Lukas; Rannabauer, Leonhard; Rezzolla, Luciano; Samfass, Philipp; Tavelli, Maurizio; Weinzierl, Tobias ExaHyPE: an engine for parallel dynamically adaptive simulations of wave problems. (English) Zbl 07687570 Comput. Phys. Commun. 254, Article ID 107251, 16 p. (2020). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{A. Reinarz} et al., Comput. Phys. Commun. 254, Article ID 107251, 16 p. (2020; Zbl 07687570) Full Text: DOI arXiv
Romenski, E.; Peshkov, I.; Dumbser, M.; Fambri, F. A new continuum model for general relativistic viscous heat-conducting media. (English) Zbl 1462.82032 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190175, 20 p. (2020). MSC: 82C21 80A10 82C35 PDFBibTeX XMLCite \textit{E. Romenski} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2170, Article ID 20190175, 20 p. (2020; Zbl 1462.82032) Full Text: DOI arXiv Link
Dumbser, Michael; Fambri, Francesco; Gaburro, Elena; Reinarz, Anne On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations. (English) Zbl 1453.85002 J. Comput. Phys. 404, Article ID 109088, 15 p. (2020). MSC: 85A05 83C55 83-08 65M60 PDFBibTeX XMLCite \textit{M. Dumbser} et al., J. Comput. Phys. 404, Article ID 109088, 15 p. (2020; Zbl 1453.85002) Full Text: DOI arXiv
Bassi, C.; Busto, S.; Dumbser, M. High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves. (English) Zbl 1447.74042 Appl. Numer. Math. 158, 236-263 (2020). MSC: 74S05 74S20 74L05 74J05 74F10 76B15 86A15 PDFBibTeX XMLCite \textit{C. Bassi} et al., Appl. Numer. Math. 158, 236--263 (2020; Zbl 1447.74042) Full Text: DOI arXiv