Tavelli, Maurizio; Dumbser, Michael; Charrier, Dominic Etienne; Rannabauer, Leonhard; Weinzierl, Tobias; Bader, Michael A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography. (English) Zbl 1452.74113 J. Comput. Phys. 386, 158-189 (2019). MSC: 74S05 74S10 74J05 65M50 65M60 86A15 86-08 65Z05 PDFBibTeX XMLCite \textit{M. Tavelli} et al., J. Comput. Phys. 386, 158--189 (2019; Zbl 1452.74113) Full Text: DOI arXiv
Ioriatti, Matteo; Dumbser, Michael A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations. (English) Zbl 1403.76046 Appl. Numer. Math. 135, 443-480 (2019). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{M. Ioriatti} and \textit{M. Dumbser}, Appl. Numer. Math. 135, 443--480 (2019; Zbl 1403.76046) Full Text: DOI
Tavelli, Maurizio; Dumbser, Michael Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity. (English) Zbl 1406.74647 J. Comput. Phys. 366, 386-414 (2018). MSC: 74S05 74J20 74J05 74B05 PDFBibTeX XMLCite \textit{M. Tavelli} and \textit{M. Dumbser}, J. Comput. Phys. 366, 386--414 (2018; Zbl 1406.74647) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{W. Boscheri} et al., J. Comput. Phys. 291, 120--150 (2015; Zbl 1349.76311) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 280, 57--83 (2014; Zbl 1423.76296) Full Text: DOI arXiv
Dumbser, Michael; Hidalgo, Arturo; Zanotti, Olindo High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems. (English) Zbl 1295.65088 Comput. Methods Appl. Mech. Eng. 268, 359-387 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Comput. Methods Appl. Mech. Eng. 268, 359--387 (2014; Zbl 1295.65088) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Dumbser} et al., J. Comput. Phys. 248, 257--286 (2013; Zbl 1349.76325) Full Text: DOI arXiv
Tavelli, M.; Dumbser, Michael; Casulli, V. High resolution methods for scalar transport problems in compliant systems of arteries. (English) Zbl 1302.76134 Appl. Numer. Math. 74, 62-82 (2013). MSC: 76M20 65M06 76Z05 92C35 PDFBibTeX XMLCite \textit{M. Tavelli} et al., Appl. Numer. Math. 74, 62--82 (2013; Zbl 1302.76134) Full Text: DOI