Ahmed, Naveed; Matthies, Gunar Numerical study of SUPG and LPS methods combined with higher order variational time discretization schemes applied to time-dependent linear convection-diffusion-reaction equations. (English) Zbl 1342.65192 J. Sci. Comput. 67, No. 3, 988-1018 (2016). MSC: 65M60 35K20 65M12 65M55 65F08 PDFBibTeX XMLCite \textit{N. Ahmed} and \textit{G. Matthies}, J. Sci. Comput. 67, No. 3, 988--1018 (2016; Zbl 1342.65192) Full Text: DOI
Ahmed, Naveed; Matthies, Gunar Higher order continuous Galerkin-Petrov time stepping schemes for transient convection-diffusion-reaction equations. (English) Zbl 1342.65184 ESAIM, Math. Model. Numer. Anal. 49, No. 5, 1429-1450 (2015). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M20 65M60 65M12 65M15 35K57 PDFBibTeX XMLCite \textit{N. Ahmed} and \textit{G. Matthies}, ESAIM, Math. Model. Numer. Anal. 49, No. 5, 1429--1450 (2015; Zbl 1342.65184) Full Text: DOI
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz Finite element methods of an operator splitting applied to population balance equations. (English) Zbl 1242.65199 J. Comput. Appl. Math. 236, No. 6, 1604-1621 (2011). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M60 65M12 65M15 35K20 PDFBibTeX XMLCite \textit{N. Ahmed} et al., J. Comput. Appl. Math. 236, No. 6, 1604--1621 (2011; Zbl 1242.65199) Full Text: DOI
Ahmed, N.; Matthies, G.; Tobiska, L.; Xie, H. Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems. (English) Zbl 1228.76078 Comput. Methods Appl. Mech. Eng. 200, No. 21-22, 1747-1756 (2011). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 200, No. 21--22, 1747--1756 (2011; Zbl 1228.76078) Full Text: DOI
Franz, Sebastian; Matthies, Gunar Convergence on layer-adapted meshes and anisotropic interpolation error estimates of non-standard higher order finite elements. (English) Zbl 1213.65138 Appl. Numer. Math. 61, No. 6, 723-737 (2011). MSC: 65N12 35J25 35B35 65N15 65N30 PDFBibTeX XMLCite \textit{S. Franz} and \textit{G. Matthies}, Appl. Numer. Math. 61, No. 6, 723--737 (2011; Zbl 1213.65138) Full Text: DOI
Franz, Sebastian; Matthies, Gunar Local projection stabilisation on \(S\)-type meshes for convection-diffusion problems with characteristic layers. (English) Zbl 1203.65226 Computing 87, No. 3-4, 135-167 (2010). Reviewer: Pavel Burda (Praha) MSC: 65N12 65N30 65N50 35B25 35J25 PDFBibTeX XMLCite \textit{S. Franz} and \textit{G. Matthies}, Computing 87, No. 3--4, 135--167 (2010; Zbl 1203.65226) Full Text: DOI
Matthies, Gunar Local projection methods on layer-adapted meshes for higher order discretisations of convection-diffusion problems. (English) Zbl 1188.65154 Appl. Numer. Math. 59, No. 10, 2515-2533 (2009). Reviewer: Kai Schneider (Marseille) MSC: 65N30 65N15 65N12 PDFBibTeX XMLCite \textit{G. Matthies}, Appl. Numer. Math. 59, No. 10, 2515--2533 (2009; Zbl 1188.65154) Full Text: DOI
Matthies, Gunar Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes. (English) Zbl 1165.65064 Adv. Comput. Math. 30, No. 4, 315-337 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65N12 65N30 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{G. Matthies}, Adv. Comput. Math. 30, No. 4, 315--337 (2009; Zbl 1165.65064) Full Text: DOI
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz Stabilization of local projection type applied to convection-diffusion problems with mixed boundary conditions. (English) Zbl 1171.65074 ETNA, Electron. Trans. Numer. Anal. 32, 90-105 (2008). MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{G. Matthies} et al., ETNA, Electron. Trans. Numer. Anal. 32, 90--105 (2008; Zbl 1171.65074) Full Text: EuDML EMIS
Matthies, G.; Schieweck, F. Nonconforming finite elements of higher order satisfying a new compatibility condition. (English) Zbl 1155.65102 J. Numer. Math. 16, No. 1, 23-50 (2008). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N30 65N15 35J25 65N50 65Y05 PDFBibTeX XMLCite \textit{G. Matthies} and \textit{F. Schieweck}, J. Numer. Math. 16, No. 1, 23--50 (2008; Zbl 1155.65102) Full Text: DOI
Matthies, G.; Tobiska, L. The streamline-diffusion method for conforming and nonconforming finite elements of lowest order applied to convection-diffusion problems. (English) Zbl 0998.65118 Computing 66, No. 4, 343-364 (2001). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 35J25 65N15 65N12 65N50 PDFBibTeX XMLCite \textit{G. Matthies} and \textit{L. Tobiska}, Computing 66, No. 4, 343--364 (2001; Zbl 0998.65118) Full Text: DOI
John, V.; Matthies, G.; Schieweck, F.; Tobiska, L. A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems. (English) Zbl 0942.76041 Comput. Methods Appl. Mech. Eng. 166, No. 1-2, 85-97 (1998). MSC: 76M10 76R99 65M60 PDFBibTeX XMLCite \textit{V. John} et al., Comput. Methods Appl. Mech. Eng. 166, No. 1--2, 85--97 (1998; Zbl 0942.76041) Full Text: DOI