Schötzau, Dominik; Marcati, Carlo; Schwab, Christoph Exponential convergence of mixed \(hp\)-DGFEM for the incompressible Navier-Stokes equations in \(\mathbb{R}^2\). (English) Zbl 1519.65057 IMA J. Numer. Anal. 41, No. 3, 1966-1999 (2021). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N12 65N50 35B65 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{D. Schötzau} et al., IMA J. Numer. Anal. 41, No. 3, 1966--1999 (2021; Zbl 1519.65057) Full Text: DOI
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph Discontinuous Galerkin methods for acoustic wave propagation in polygons. (English) Zbl 1406.65080 J. Sci. Comput. 77, No. 3, 1909-1935 (2018). MSC: 65M20 65M60 65N30 35Q35 65M12 65M50 76Q05 PDFBibTeX XMLCite \textit{F. Müller} et al., J. Sci. Comput. 77, No. 3, 1909--1935 (2018; Zbl 1406.65080) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph Exponential convergence of \(hp\)-FEM for elliptic problems in polyhedra: mixed boundary conditions and anisotropic polynomial degrees. (English) Zbl 1402.65166 Found. Comput. Math. 18, No. 3, 595-660 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, Found. Comput. Math. 18, No. 3, 595--660 (2018; Zbl 1402.65166) Full Text: DOI
Müller, Fabian; Schötzau, Dominik; Schwab, Christoph Symmetric interior penalty discontinuous Galerkin methods for elliptic problems in polygons. (English) Zbl 1376.65145 SIAM J. Numer. Anal. 55, No. 5, 2490-2521 (2017). MSC: 65N30 35J05 65N15 65N12 PDFBibTeX XMLCite \textit{F. Müller} et al., SIAM J. Numer. Anal. 55, No. 5, 2490--2521 (2017; Zbl 1376.65145) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas P. \(hp\)-dGFEM for second-order mixed elliptic problems in polyhedra. (English) Zbl 1332.65173 Math. Comput. 85, No. 299, 1051-1083 (2016). MSC: 65N30 35Jxx PDFBibTeX XMLCite \textit{D. Schötzau} et al., Math. Comput. 85, No. 299, 1051--1083 (2016; Zbl 1332.65173) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph Exponential convergence for \(hp\)-version and spectral finite element methods for elliptic problems in polyhedra. (English) Zbl 1322.65099 Math. Models Methods Appl. Sci. 25, No. 9, 1617-1661 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, Math. Models Methods Appl. Sci. 25, No. 9, 1617--1661 (2015; Zbl 1322.65099) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas; Wirz, Marcel Exponential convergence of \(hp\)-DGFEM for elliptic problems in polyhedral domains. (English) Zbl 1282.65132 Azaïez, Mejdi (ed.) et al., Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-01600-9/hbk; 978-3-319-01601-6/ebook). Lecture Notes in Computational Science and Engineering 95, 57-73 (2014). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{D. Schötzau} et al., Lect. Notes Comput. Sci. Eng. 95, 57--73 (2014; Zbl 1282.65132) Full Text: DOI
Schötzau, D.; Schwab, Ch.; Wihler, T. P. \(hp\)-dGFEM for second order elliptic problems in polyhedra. II: Exponential convergence. (English) Zbl 1457.65215 SIAM J. Numer. Anal. 51, No. 4, 2005-2035 (2013). MSC: 65N30 PDFBibTeX XMLCite \textit{D. Schötzau} et al., SIAM J. Numer. Anal. 51, No. 4, 2005--2035 (2013; Zbl 1457.65215) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Wihler, Thomas Pascal \(hp\)-dGFEM for second-order elliptic problems in polyhedra I: Stability on geometric meshes. (English) Zbl 1276.65084 SIAM J. Numer. Anal. 51, No. 3, 1610-1633 (2013). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 65N50 65N12 65N15 PDFBibTeX XMLCite \textit{D. Schötzau} et al., SIAM J. Numer. Anal. 51, No. 3, 1610--1633 (2013; Zbl 1276.65084) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea Mixed \(hp\)-DGFEM for incompressible flows. II: Geometric edge meshes. (English) Zbl 1114.76046 IMA J. Numer. Anal. 24, No. 2, 273-308 (2004). MSC: 76M10 65N30 PDFBibTeX XMLCite \textit{D. Schötzau} et al., IMA J. Numer. Anal. 24, No. 2, 273--308 (2004; Zbl 1114.76046) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea Stabilized \(hp\)-DGFEM for incompressible flow. (English) Zbl 1050.76034 Math. Models Methods Appl. Sci. 13, No. 10, 1413-1436 (2003). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{D. Schötzau} et al., Math. Models Methods Appl. Sci. 13, No. 10, 1413--1436 (2003; Zbl 1050.76034) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Toselli, Andrea Mixed hp-DGFEM for incompressible flows. (English) Zbl 1055.76032 SIAM J. Numer. Anal. 40, No. 6, 2171-2194 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 76M10 76D07 65N12 PDFBibTeX XMLCite \textit{D. Schötzau} et al., SIAM J. Numer. Anal. 40, No. 6, 2171--2194 (2003; Zbl 1055.76032) Full Text: DOI
Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik; Schwab, Christoph Local discontinuous Galerkin methods for the Stokes system. (English) Zbl 1032.65127 SIAM J. Numer. Anal. 40, No. 1, 319-343 (2002). Reviewer: Michael Schäfer (Darmstadt) MSC: 65N30 76D07 76M10 35Q30 65N15 65N12 PDFBibTeX XMLCite \textit{B. Cockburn} et al., SIAM J. Numer. Anal. 40, No. 1, 319--343 (2002; Zbl 1032.65127) Full Text: DOI
Castillo, Paul; Cockburn, Bernardo; Schötzau, Dominik; Schwab, Christoph Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems. (English) Zbl 0997.65111 Math. Comput. 71, No. 238, 455-478 (2002). Reviewer: P.B.Dubovski (Moskva) MSC: 65M15 65M60 35K15 PDFBibTeX XMLCite \textit{P. Castillo} et al., Math. Comput. 71, No. 238, 455--478 (2002; Zbl 0997.65111) Full Text: DOI
Gerdes, K.; Melenk, J. M.; Schwab, Christoph; Schötzau, Dominik The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. (English) Zbl 1012.65122 Math. Models Methods Appl. Sci. 11, No. 2, 301-337 (2001). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{K. Gerdes} et al., Math. Models Methods Appl. Sci. 11, No. 2, 301--337 (2001; Zbl 1012.65122) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph \(hp\)-discontinuous Galerkin time-stepping for parabolic problems. (English. Abridged French version) Zbl 0993.65108 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 12, 1121-1126 (2001). MSC: 65M60 65M12 65M15 35K15 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 12, 1121--1126 (2001; Zbl 0993.65108) Full Text: DOI
Werder, T.; Gerdes, K.; Schötzau, Dominik; Schwab, Christoph \(hp\)-discontinuous Galerkin time stepping for parabolic problems. (English) Zbl 0992.65103 Comput. Methods Appl. Mech. Eng. 190, No. 49-50, 6685-6708 (2001). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M60 65M12 65M20 35K05 PDFBibTeX XMLCite \textit{T. Werder} et al., Comput. Methods Appl. Mech. Eng. 190, No. 49--50, 6685--6708 (2001; Zbl 0992.65103) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph Exponential convergence in a Galerkin least squares \(hp\)-FEM for Stokes flow. (English) Zbl 0990.76046 IMA J. Numer. Anal. 21, No. 1, 53-80 (2001). MSC: 76M10 76D07 65N12 65N30 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, IMA J. Numer. Anal. 21, No. 1, 53--80 (2001; Zbl 0990.76046) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph An \(hp\) a priori error analysis of the DG time-stepping for initial value problems. (English) Zbl 1012.65084 Calcolo 37, No. 4, 207-232 (2000). Reviewer: Kevin Burrage (Brisbane) MSC: 65L70 65L05 34A34 65L20 65L60 65L50 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, Calcolo 37, No. 4, 207--232 (2000; Zbl 1012.65084) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph Time discretization of parabolic problems by the \(hp\)-version of the discontinuous Galerkin finite element method. (English) Zbl 0978.65091 SIAM J. Numer. Anal. 38, No. 3, 837-875 (2000). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M60 65M12 65M15 35K05 35K90 65M50 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, SIAM J. Numer. Anal. 38, No. 3, 837--875 (2000; Zbl 0978.65091) Full Text: DOI
Schötzau, Dominik; Gerdes, Klaus; Schwab, Christoph Stable and stabilized \(hp\)-finite element methods for the Stokes problem. (English) Zbl 0992.76061 Appl. Numer. Math. 33, No. 1-4, 349-356 (2000). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{D. Schötzau} et al., Appl. Numer. Math. 33, No. 1--4, 349--356 (2000; Zbl 0992.76061) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph; Stenberg, Rolf Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes. (English) Zbl 0958.76049 Numer. Math. 83, No. 4, 667-697 (1999). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{D. Schötzau} et al., Numer. Math. 83, No. 4, 667--697 (1999; Zbl 0958.76049) Full Text: DOI
Schötzau, Dominik; Schwab, Christoph Mixed \(hp\)-FEM on anisotropic meshes. (English) Zbl 0958.76048 Math. Models Methods Appl. Sci. 8, No. 5, 787-820 (1998). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{D. Schötzau} and \textit{C. Schwab}, Math. Models Methods Appl. Sci. 8, No. 5, 787--820 (1998; Zbl 0958.76048) Full Text: DOI
Schötzau, Dominik; Gerdes, Klaus; Schwab, Christoph Galerkin least squares \(hp\)-finite element method for the Stokes problem. (English. Abridged French version) Zbl 0916.76039 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 2, 249-254 (1998). MSC: 76M10 76D07 65N30 65N12 PDFBibTeX XMLCite \textit{D. Schötzau} et al., C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 2, 249--254 (1998; Zbl 0916.76039) Full Text: DOI