Fambri, F.; Zampa, E.; Busto, S.; Río-Martín, L.; Hindenlang, F.; Sonnendrücker, E.; Dumbser, M. A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations. (English) Zbl 07748072 J. Comput. Phys. 493, Article ID 112493, 48 p. (2023). MSC: 76Mxx 65Mxx 76Wxx PDFBibTeX XMLCite \textit{F. Fambri} et al., J. Comput. Phys. 493, Article ID 112493, 48 p. (2023; Zbl 07748072) Full Text: DOI arXiv
Busto, S.; Dumbser, M. A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers. (English) Zbl 1485.76056 Appl. Numer. Math. 175, 108-132 (2022). MSC: 76M12 76M10 76B10 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, Appl. Numer. Math. 175, 108--132 (2022; Zbl 1485.76056) Full Text: DOI
Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael A well balanced diffuse interface method for complex nonhydrostatic free surface flows. (English) Zbl 1410.76224 Comput. Fluids 175, 180-198 (2018). MSC: 76M12 65M08 65Y10 76Nxx 76T10 PDFBibTeX XMLCite \textit{E. Gaburro} et al., Comput. Fluids 175, 180--198 (2018; Zbl 1410.76224) Full Text: DOI arXiv
Rossi, Giulia; Dumbser, Michael; Armanini, Aronne A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. (English) Zbl 1390.76760 Comput. Fluids 154, 102-122 (2017). MSC: 76M28 65M75 76B15 PDFBibTeX XMLCite \textit{G. Rossi} et al., Comput. Fluids 154, 102--122 (2017; Zbl 1390.76760) Full Text: DOI
Dumbser, Michael A diffuse interface method for complex three-dimensional free surface flows. (English) Zbl 1286.76099 Comput. Methods Appl. Mech. Eng. 257, 47-64 (2013). MSC: 76M12 76B10 76T99 PDFBibTeX XMLCite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 257, 47--64 (2013; Zbl 1286.76099) Full Text: DOI
Dumbser, Michael A simple two-phase method for the simulation of complex free surface flows. (English) Zbl 1225.76210 Comput. Methods Appl. Mech. Eng. 200, No. 9-12, 1204-1219 (2011). MSC: 76M12 76B10 PDFBibTeX XMLCite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 200, No. 9--12, 1204--1219 (2011; Zbl 1225.76210) Full Text: DOI
Dumbser, Michael; Toro, Eleuterio F. A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. (English) Zbl 1220.65110 J. Sci. Comput. 48, No. 1-3, 70-88 (2011). MSC: 65M06 PDFBibTeX XMLCite \textit{M. Dumbser} and \textit{E. F. Toro}, J. Sci. Comput. 48, No. 1--3, 70--88 (2011; Zbl 1220.65110) Full Text: DOI