Faghih-Naini, Sara; Aizinger, Vadym p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator. (English) Zbl 07605014 GEM. Int. J. Geomath. 13, Paper No. 18, 25 p. (2022). MSC: 65Mxx 76-XX 86-XX PDFBibTeX XMLCite \textit{S. Faghih-Naini} and \textit{V. Aizinger}, GEM. Int. J. Geomath. 13, Paper No. 18, 25 p. (2022; Zbl 07605014) Full Text: DOI
Hajduk, Hennes Monolithic convex limiting in discontinuous Galerkin discretizations of hyperbolic conservation laws. (English) Zbl 1524.65539 Comput. Math. Appl. 87, 120-138 (2021). MSC: 65M60 35L65 76M10 65M12 65N30 76N15 76B15 33C45 65M06 35Q35 PDFBibTeX XMLCite \textit{H. Hajduk}, Comput. Math. Appl. 87, 120--138 (2021; Zbl 1524.65539) Full Text: DOI arXiv
Reuter, Balthasar; Hajduk, Hennes; Rupp, Andreas; Frank, Florian; Aizinger, Vadym; Knabner, Peter FESTUNG 1.0: overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods. (English) Zbl 1460.76635 Comput. Math. Appl. 81, 3-41 (2021). MSC: 76M10 76M20 76B10 PDFBibTeX XMLCite \textit{B. Reuter} et al., Comput. Math. Appl. 81, 3--41 (2021; Zbl 1460.76635) Full Text: DOI
Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Frank, Florian; Knabner, Peter FESTUNG: a MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. IV: Generic problem framework and model-coupling interface. (English) Zbl 1528.65081 Commun. Comput. Phys. 28, No. 2, 827-876 (2020). MSC: 65M60 65M06 65L06 65N30 65H10 65M12 65M15 65-04 35L20 68N30 76B07 76S05 86A05 PDFBibTeX XMLCite \textit{B. Reuter} et al., Commun. Comput. Phys. 28, No. 2, 827--876 (2020; Zbl 1528.65081) Full Text: DOI arXiv
Hauck, Moritz; Aizinger, Vadym; Frank, Florian; Hajduk, Hennes; Rupp, Andreas Enriched Galerkin method for the shallow-water equations. (English) Zbl 1475.65122 GEM. Int. J. Geomath. 11, No. 1, Paper No. 31, 25 p. (2020). Reviewer: J. Manimaran (Ponda) MSC: 65M60 65L06 65N30 76B15 86A05 35Q35 35Q86 PDFBibTeX XMLCite \textit{M. Hauck} et al., GEM. Int. J. Geomath. 11, Paper No. 31, 25 p. (2020; Zbl 1475.65122) Full Text: DOI
Hajduk, Hennes; Kuzmin, Dmitri; Aizinger, Vadym New directional vector limiters for discontinuous Galerkin methods. (English) Zbl 1451.76069 J. Comput. Phys. 384, 308-325 (2019). MSC: 76M10 65M60 76N15 76L05 PDFBibTeX XMLCite \textit{H. Hajduk} et al., J. Comput. Phys. 384, 308--325 (2019; Zbl 1451.76069) Full Text: DOI
Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems. (English) Zbl 1442.65273 Comput. Math. Appl. 77, No. 9, 2291-2309 (2019). MSC: 65M60 65M12 76S05 PDFBibTeX XMLCite \textit{B. Reuter} et al., Comput. Math. Appl. 77, No. 9, 2291--2309 (2019; Zbl 1442.65273) Full Text: DOI arXiv