Romenski, Evgeniy; Reshetova, Galina; Peshkov, Ilya Two-phase hyperbolic model for porous media saturated with a viscous fluid and its application to wavefields simulation. (English) Zbl 1503.76099 Appl. Math. Modelling 106, 567-600 (2022). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{E. Romenski} et al., Appl. Math. Modelling 106, 567--600 (2022; Zbl 1503.76099) Full Text: DOI arXiv
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
Boscheri, Walter; Chiocchetti, Simone; Peshkov, Ilya A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes. (English) Zbl 07517157 J. Comput. Phys. 451, Article ID 110852, 44 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 451, Article ID 110852, 44 p. (2022; Zbl 07517157) Full Text: DOI arXiv
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
Boscheri, W.; Dumbser, M.; Ioriatti, M.; Peshkov, I.; Romenski, E. A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics. (English) Zbl 07508471 J. Comput. Phys. 424, Article ID 109866, 40 p. (2021). MSC: 80-XX 35-XX PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 424, Article ID 109866, 40 p. (2021; Zbl 07508471) Full Text: DOI arXiv
Peshkov, Ilya; Dumbser, Michael; Boscheri, Walter; Romenski, Evgeniy; Chiocchetti, Simone; Ioriatti, Matteo Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme. (English) Zbl 1521.76573 Comput. Fluids 224, Article ID 104963, 17 p. (2021). MSC: 76M20 65M06 76A10 PDFBibTeX XMLCite \textit{I. Peshkov} et al., Comput. Fluids 224, Article ID 104963, 17 p. (2021; Zbl 1521.76573) Full Text: DOI arXiv
Pavelka, Michal; Peshkov, Ilya; Klika, Václav On Hamiltonian continuum mechanics. (English) Zbl 1493.74009 Physica D 408, Article ID 132510, 19 p. (2020). MSC: 74A99 70H05 70H30 70G65 PDFBibTeX XMLCite \textit{M. Pavelka} et al., Physica D 408, Article ID 132510, 19 p. (2020; Zbl 1493.74009) 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
Peshkov, Ilya; Boscheri, Walter; Loubère, Raphaël; Romenski, Evgeniy; Dumbser, Michael Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity. (English) Zbl 1452.74022 J. Comput. Phys. 387, 481-521 (2019). MSC: 74C15 74B20 74S05 74S10 PDFBibTeX XMLCite \textit{I. Peshkov} et al., J. Comput. Phys. 387, 481--521 (2019; Zbl 1452.74022) Full Text: DOI arXiv
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. (English) Zbl 1349.76324 J. Comput. Phys. 314, 824-862 (2016). MSC: 76M12 74S10 76M10 74S05 65M08 65M60 PDFBibTeX XMLCite \textit{M. Dumbser} et al., J. Comput. Phys. 314, 824--862 (2016; Zbl 1349.76324) Full Text: DOI arXiv