Dedner, Andreas; Klöfkorn, Robert A Python framework for solving advection-diffusion problems. (English) Zbl 1454.65084 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 695-703 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N30 65M20 65L06 76N30 35Q31 PDF BibTeX XML Cite \textit{A. Dedner} and \textit{R. Klöfkorn}, Springer Proc. Math. Stat. 323, 695--703 (2020; Zbl 1454.65084) Full Text: DOI OpenURL
Cheng, Jian; Yu, Shengjiao; Yue, Huiqiang; Liu, Tiegang An adjoint-based \(h\)-adaptive reconstructed discontinuous Galerkin method for the steady-state compressible Euler equations. (English) Zbl 1474.65346 Commun. Comput. Phys. 26, No. 3, 855-879 (2019). MSC: 65M60 65M99 35L65 PDF BibTeX XML Cite \textit{J. Cheng} et al., Commun. Comput. Phys. 26, No. 3, 855--879 (2019; Zbl 1474.65346) Full Text: DOI OpenURL
Giuliani, Andrew; Krivodonova, Lilia Adaptive mesh refinement on graphics processing units for applications in gas dynamics. (English) Zbl 1451.65139 J. Comput. Phys. 381, 67-90 (2019). MSC: 65M50 65M60 76M10 35L65 65Y20 76N15 65Y05 PDF BibTeX XML Cite \textit{A. Giuliani} and \textit{L. Krivodonova}, J. Comput. Phys. 381, 67--90 (2019; Zbl 1451.65139) Full Text: DOI OpenURL
Yu, Shengjiao; Cheng, Jian; Yue, Huiqiang; Liu, Tiegang A residual-based h-adaptive reconstructed discontinuous Galerkin method for the compressible Euler equations on unstructured grids. (English) Zbl 1390.76379 Comput. Fluids 156, 470-484 (2017). MSC: 76M10 65M60 65M50 76Nxx PDF BibTeX XML Cite \textit{S. Yu} et al., Comput. Fluids 156, 470--484 (2017; Zbl 1390.76379) Full Text: DOI OpenURL
Chandrashekar, Praveen; Zenk, Markus Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity. (English) Zbl 1462.65180 J. Sci. Comput. 71, No. 3, 1062-1093 (2017). MSC: 65N30 65D32 76B15 76N06 76M10 35Q31 PDF BibTeX XML Cite \textit{P. Chandrashekar} and \textit{M. Zenk}, J. Sci. Comput. 71, No. 3, 1062--1093 (2017; Zbl 1462.65180) Full Text: DOI arXiv OpenURL
Madzvamuse, Anotida; Chung, Andy H. W. Fully implicit time-stepping schemes and non-linear solvers for systems of reaction-diffusion equations. (English) Zbl 1336.65167 Appl. Math. Comput. 244, 361-374 (2014). MSC: 65M60 35K51 35K57 PDF BibTeX XML Cite \textit{A. Madzvamuse} and \textit{A. H. W. Chung}, Appl. Math. Comput. 244, 361--374 (2014; Zbl 1336.65167) Full Text: DOI arXiv OpenURL
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J. Discrete total variation flows without regularization. (English) Zbl 1292.65106 SIAM J. Numer. Anal. 52, No. 1, 363-385 (2014). Reviewer: Jan Lovíšek (Bratislava) MSC: 65M60 35K86 35R35 35R37 65M12 PDF BibTeX XML Cite \textit{S. Bartels} et al., SIAM J. Numer. Anal. 52, No. 1, 363--385 (2014; Zbl 1292.65106) Full Text: DOI arXiv Link OpenURL
Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan Implementation of the entropy viscosity method with the discontinuous Galerkin method. (English) Zbl 1297.76109 Comput. Methods Appl. Mech. Eng. 253, 479-490 (2013). MSC: 76M10 65M60 35Q31 76B15 PDF BibTeX XML Cite \textit{V. Zingan} et al., Comput. Methods Appl. Mech. Eng. 253, 479--490 (2013; Zbl 1297.76109) Full Text: DOI OpenURL
Emmrich, Etienne; Wróblewska-Kamińska, Aneta Convergence of a full discretization of quasi-linear parabolic equations in isotropic and anisotropic Orlicz spaces. (English) Zbl 1272.65070 SIAM J. Numer. Anal. 51, No. 2, 1163-1184 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 65M06 65M60 35K59 65M15 46E30 PDF BibTeX XML Cite \textit{E. Emmrich} and \textit{A. Wróblewska-Kamińska}, SIAM J. Numer. Anal. 51, No. 2, 1163--1184 (2013; Zbl 1272.65070) Full Text: DOI OpenURL
Nigro, A.; de Bartolo, C.; Hartmann, R.; Bassi, F. Discontinuous Galerkin solution of preconditioned Euler equations for very low Mach number flows. (English) Zbl 1423.76265 Int. J. Numer. Methods Fluids 63, No. 4, 449-467 (2010). MSC: 76M10 65M60 35Q31 PDF BibTeX XML Cite \textit{A. Nigro} et al., Int. J. Numer. Methods Fluids 63, No. 4, 449--467 (2010; Zbl 1423.76265) Full Text: DOI Link OpenURL
Bassi, F.; De Bartolo, C.; Hartmann, R.; Nigro, A. A discontinuous Galerkin method for inviscid low Mach number flows. (English) Zbl 1273.76265 J. Comput. Phys. 228, No. 11, 3996-4011 (2009). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{F. Bassi} et al., J. Comput. Phys. 228, No. 11, 3996--4011 (2009; Zbl 1273.76265) Full Text: DOI Link OpenURL
Hartmann, R. Error estimation and adjoint based refinement for an adjoint consistent DG discretisation of the compressible Euler equations. (English) Zbl 1185.65209 Int. J. Comput. Sci. Math. 1, No. 2-4, 207-220 (2007). MSC: 65N30 PDF BibTeX XML Cite \textit{R. Hartmann}, Int. J. Comput. Sci. Math. 1, No. 2--4, 207--220 (2007; Zbl 1185.65209) Full Text: DOI OpenURL
Hartmann, Ralf Adjoint consistency analysis of discontinuous Galerkin discretizations. (English) Zbl 1189.76341 SIAM J. Numer. Anal. 45, No. 6, 2671-2696 (2007). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M10 76N15 65N30 PDF BibTeX XML Cite \textit{R. Hartmann}, SIAM J. Numer. Anal. 45, No. 6, 2671--2696 (2007; Zbl 1189.76341) Full Text: DOI OpenURL
Calhoun-Lopez, Marcus; Gunzburger, Max D. The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws. (English) Zbl 1122.65086 J. Comput. Phys. 225, No. 2, 1288-1313 (2007). MSC: 65M60 35L65 76M10 76N15 65M12 PDF BibTeX XML Cite \textit{M. Calhoun-Lopez} and \textit{M. D. Gunzburger}, J. Comput. Phys. 225, No. 2, 1288--1313 (2007; Zbl 1122.65086) Full Text: DOI OpenURL
Calhoun-Lopez, Marcus; Gunzburger, Max D. A finite element, multiresolution viscosity method for hyperbolic conservation laws. (English) Zbl 1118.65102 SIAM J. Numer. Anal. 43, No. 5, 1988-2011 (2005). MSC: 65M60 65M70 35L65 65M12 76N15 76M10 PDF BibTeX XML Cite \textit{M. Calhoun-Lopez} and \textit{M. D. Gunzburger}, SIAM J. Numer. Anal. 43, No. 5, 1988--2011 (2005; Zbl 1118.65102) Full Text: DOI OpenURL
Hartmann, R.; Houston, P. Goal-oriented a posteriori error estimation for compressible fluid flows. (English) Zbl 1042.76042 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 775-784 (2003). MSC: 76M10 76N15 65N15 PDF BibTeX XML Cite \textit{R. Hartmann} and \textit{P. Houston}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 775--784 (2003; Zbl 1042.76042) Full Text: DOI OpenURL
Hartmann, Ralf; Houston, Paul Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. (English) Zbl 1057.76033 J. Comput. Phys. 183, No. 2, 508-532 (2002). MSC: 76M10 65N30 65N50 76N15 PDF BibTeX XML Cite \textit{R. Hartmann} and \textit{P. Houston}, J. Comput. Phys. 183, No. 2, 508--532 (2002; Zbl 1057.76033) Full Text: DOI OpenURL
Hartmann, Ralf Adaptive finite element methods for the compressible Euler equations. (English) Zbl 1010.76002 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät, 141 p. (2002). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 76-02 76M10 76N15 PDF BibTeX XML Cite \textit{R. Hartmann}, Adaptive finite element methods for the compressible Euler equations. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Ge\-samt\-fa\-kul\-tät (2002; Zbl 1010.76002) OpenURL