Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael A well balanced finite volume scheme for general relativity. (English) Zbl 07456293 SIAM J. Sci. Comput. 43, No. 6, B1226-B1251 (2021). MSC: 65-XX 35L40 65M08 83C05 83C10 85-08 85-10 85A30 PDF BibTeX XML Cite \textit{E. Gaburro} et al., SIAM J. Sci. Comput. 43, No. 6, B1226--B1251 (2021; Zbl 07456293) Full Text: DOI arXiv OpenURL
Avesani, Diego; Dumbser, Michael; Vacondio, Renato; Righetti, Maurizio An alternative SPH formulation: ADER-WENO-SPH. (English) Zbl 07415027 Comput. Methods Appl. Mech. Eng. 382, Article ID 113871, 25 p. (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{D. Avesani} et al., Comput. Methods Appl. Mech. Eng. 382, Article ID 113871, 25 p. (2021; Zbl 07415027) Full Text: DOI OpenURL
Gaburro, Elena; Boscheri, Walter; Chiocchetti, Simone; Klingenberg, Christian; Springel, Volker; Dumbser, Michael High order direct arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes. (English) Zbl 07504692 J. Comput. Phys. 407, Article ID 109167, 44 p. (2020). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{E. Gaburro} et al., J. Comput. Phys. 407, Article ID 109167, 44 p. (2020; Zbl 07504692) Full Text: DOI OpenURL
Ioriatti, Matteo; Dumbser, Michael; Loubère, Raphaël A staggered semi-implicit discontinuous Galerkin scheme with a posteriori subcell finite volume limiter for the Euler equations of gasdynamics. (English) Zbl 1434.76068 J. Sci. Comput. 83, No. 2, Paper No. 27, 58 p. (2020). MSC: 76M10 35Q31 76N10 PDF BibTeX XML Cite \textit{M. Ioriatti} et al., J. Sci. Comput. 83, No. 2, Paper No. 27, 58 p. (2020; Zbl 1434.76068) Full Text: DOI OpenURL
Boscheri, Walter; Semplice, Matteo; Dumbser, Michael Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes. (English) Zbl 1474.65307 Commun. Comput. Phys. 25, No. 2, 311-346 (2019). MSC: 65M08 65M60 PDF BibTeX XML Cite \textit{W. Boscheri} et al., Commun. Comput. Phys. 25, No. 2, 311--346 (2019; Zbl 1474.65307) Full Text: DOI OpenURL
Boscheri, Walter; Dumbser, Michael Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. (English) Zbl 1378.76044 J. Comput. Phys. 346, 449-479 (2017). MSC: 76M10 65M60 35L65 76W05 PDF BibTeX XML Cite \textit{W. Boscheri} and \textit{M. Dumbser}, J. Comput. Phys. 346, 449--479 (2017; Zbl 1378.76044) Full Text: DOI arXiv OpenURL
Dumbser, Michael; Boscheri, Walter; Semplice, Matteo; Russo, Giovanni Central weighted ENO schemes for hyperbolic conservation laws on fixed and moving unstructured meshes. (English) Zbl 1377.65115 SIAM J. Sci. Comput. 39, No. 6, A2564-A2591 (2017). MSC: 65M08 35L60 76N15 76M12 65Y05 PDF BibTeX XML Cite \textit{M. Dumbser} et al., SIAM J. Sci. Comput. 39, No. 6, A2564--A2591 (2017; Zbl 1377.65115) Full Text: DOI arXiv OpenURL
Dumbser, Michael; Casulli, Vincenzo A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. (English) Zbl 1410.76220 Appl. Math. Comput. 272, Part 2, 479-497 (2016). MSC: 76M12 65M08 76Nxx PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{V. Casulli}, Appl. Math. Comput. 272, Part 2, 479--497 (2016; Zbl 1410.76220) Full Text: DOI OpenURL
Boscheri, Walter; Dumbser, Michael High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes. (English) Zbl 1390.76398 Comput. Fluids 136, 48-66 (2016). MSC: 76M12 65M08 76N15 PDF BibTeX XML Cite \textit{W. Boscheri} and \textit{M. Dumbser}, Comput. Fluids 136, 48--66 (2016; Zbl 1390.76398) Full Text: DOI OpenURL
Dumbser, Michael; Balsara, Dinshaw S. A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. (English) Zbl 1349.76603 J. Comput. Phys. 304, 275-319 (2016). MSC: 76M25 65M25 76Dxx 76Txx 76W05 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{D. S. Balsara}, J. Comput. Phys. 304, 275--319 (2016; Zbl 1349.76603) Full Text: DOI OpenURL
Boscheri, Walter; Dumbser, Michael; Zanotti, Olindo High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes. (English) Zbl 1349.76311 J. Comput. Phys. 291, 120-150 (2015). MSC: 76M12 65M08 76N15 76W05 76Y05 PDF BibTeX XML Cite \textit{W. Boscheri} et al., J. Comput. Phys. 291, 120--150 (2015; Zbl 1349.76311) Full Text: DOI arXiv OpenURL
Dumbser, Michael Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. (English) Zbl 1423.76296 Comput. Methods Appl. Mech. Eng. 280, 57-83 (2014). MSC: 76M12 65M08 35L65 76M20 65M06 PDF BibTeX XML Cite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 280, 57--83 (2014; Zbl 1423.76296) Full Text: DOI arXiv OpenURL
Boscheri, Walter; Dumbser, Michael A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D. (English) Zbl 1349.76310 J. Comput. Phys. 275, 484-523 (2014). MSC: 76M12 65M08 76N15 PDF BibTeX XML Cite \textit{W. Boscheri} and \textit{M. Dumbser}, J. Comput. Phys. 275, 484--523 (2014; Zbl 1349.76310) Full Text: DOI arXiv OpenURL
Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. (English) Zbl 1349.76309 J. Comput. Phys. 267, 112-138 (2014). MSC: 76M12 65M08 76W05 PDF BibTeX XML Cite \textit{W. Boscheri} et al., J. Comput. Phys. 267, 112--138 (2014; Zbl 1349.76309) Full Text: DOI arXiv OpenURL
Dumbser, Michael; Zanotti, Olindo; Hidalgo, Arturo; Balsara, Dinshaw S. ADER-WENO finite volume schemes with space-time adaptive mesh refinement. (English) Zbl 1349.76325 J. Comput. Phys. 248, 257-286 (2013). MSC: 76M12 65M08 76W05 35Q31 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 248, 257--286 (2013; Zbl 1349.76325) Full Text: DOI arXiv OpenURL
Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. (English) Zbl 1291.76237 J. Comput. Phys. 235, 934-969 (2013). MSC: 76M25 76W05 65Y20 65L05 PDF BibTeX XML Cite \textit{D. S. Balsara} et al., J. Comput. Phys. 235, 934--969 (2013; Zbl 1291.76237) Full Text: DOI arXiv OpenURL
Montecinos, G.; Castro, C. E.; Dumbser, M.; Toro, E. F. Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms. (English) Zbl 1284.35268 J. Comput. Phys. 231, No. 19, 6472-6494 (2012). MSC: 35L60 65M60 35L65 65M08 PDF BibTeX XML Cite \textit{G. Montecinos} et al., J. Comput. Phys. 231, No. 19, 6472--6494 (2012; Zbl 1284.35268) Full Text: DOI OpenURL
Dumbser, Michael; Balsara, Dinshaw S.; Toro, Eleuterio F.; Munz, Claus-Dieter A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes. (English) Zbl 1147.65075 J. Comput. Phys. 227, No. 18, 8209-8253 (2008). MSC: 65M60 35L65 65M12 76N15 76W05 76M10 76M12 74S10 74B20 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 227, No. 18, 8209--8253 (2008; Zbl 1147.65075) Full Text: DOI OpenURL
Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. (English) Zbl 1142.65070 J. Comput. Phys. 227, No. 8, 3971-4001 (2008). MSC: 65M06 35L65 65M60 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 227, No. 8, 3971--4001 (2008; Zbl 1142.65070) Full Text: DOI OpenURL
Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. (English) Zbl 1124.65074 J. Comput. Phys. 226, No. 1, 204-243 (2007). MSC: 65M06 65M12 76M12 35L65 76N15 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 226, No. 1, 204--243 (2007; Zbl 1124.65074) Full Text: DOI OpenURL
Schwartzkopff, Thomas; Dumbser, Michael; Munz, Claus-Dieter Fast high order ADER schemes for linear hyperbolic equations. (English) Zbl 1052.65078 J. Comput. Phys. 197, No. 2, 532-539 (2004). MSC: 65M06 76Q05 76M12 65M12 35L45 65M15 PDF BibTeX XML Cite \textit{T. Schwartzkopff} et al., J. Comput. Phys. 197, No. 2, 532--539 (2004; Zbl 1052.65078) Full Text: DOI OpenURL