Kean, Kiera; Neilan, Michael; Schneier, Michael The Scott-Vogelius method for the Stokes problem on anisotropic meshes. (English) Zbl 1485.65118 Int. J. Numer. Anal. Model. 19, No. 2-3, 157-174 (2022). MSC: 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{K. Kean} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 157--174 (2022; Zbl 1485.65118) Full Text: arXiv Link
Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. (English) Zbl 1478.65079 J. Sci. Comput. 90, No. 1, Paper No. 23, 31 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 74F10 65D07 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Sci. Comput. 90, No. 1, Paper No. 23, 31 p. (2022; Zbl 1478.65079) Full Text: DOI arXiv
Apel, Thomas; Kempf, Volker Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading. (English) Zbl 1477.65187 Calcolo 58, No. 2, Paper No. 15, 20 p. (2021). MSC: 65N30 65N50 65N15 65N12 76M10 76D07 35Q35 PDFBibTeX XMLCite \textit{T. Apel} and \textit{V. Kempf}, Calcolo 58, No. 2, Paper No. 15, 20 p. (2021; Zbl 1477.65187) Full Text: DOI arXiv
Adetola, Jamal; Houedanou, Koffi Wilfrid; Ahounou, Bernardin Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Ampère equation. (English) Zbl 1463.74104 Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020). MSC: 74S05 74S10 74S15 74S20 74S25 PDFBibTeX XMLCite \textit{J. Adetola} et al., Aust. J. Math. Anal. Appl. 17, No. 2, Article No. 8, 12 p. (2020; Zbl 1463.74104) Full Text: arXiv Link
Wihler, Thomas P.; Wirz, Marcel Stability and convergence of spectral mixed discontinuous Galerkin methods for 3D linear elasticity on anisotropic geometric meshes. (English) Zbl 1434.65282 J. Sci. Comput. 82, No. 2, Paper No. 49, 24 p. (2020). MSC: 65N30 65N35 65N12 74B05 74S05 PDFBibTeX XMLCite \textit{T. P. Wihler} and \textit{M. Wirz}, J. Sci. Comput. 82, No. 2, Paper No. 49, 24 p. (2020; Zbl 1434.65282) Full Text: DOI arXiv
John, Volker; Knobloch, Petr; Novo, Julia Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? (English) Zbl 07704544 Comput. Vis. Sci. 19, No. 5-6, 47-63 (2018). MSC: 65Nxx PDFBibTeX XMLCite \textit{V. John} et al., Comput. Vis. Sci. 19, No. 5--6, 47--63 (2018; Zbl 07704544) Full Text: DOI
Ainsworth, Mark; Barrenechea, Gabriel R.; Wachtel, Andreas Stabilization of high aspect ratio mixed finite elements for incompressible flow. (English) Zbl 1322.76038 SIAM J. Numer. Anal. 53, No. 2, 1107-1120 (2015). MSC: 76M10 65N12 65N30 65N50 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., SIAM J. Numer. Anal. 53, No. 2, 1107--1120 (2015; Zbl 1322.76038) Full Text: DOI Link
Schieweck, Friedhelm Uniformly stable mixed \(hp\)-finite elements on multilevel adaptive grids with hanging nodes. (English) Zbl 1154.76034 ESAIM, Math. Model. Numer. Anal. 42, No. 3, 493-505 (2008). MSC: 76M10 76D07 65N30 65N12 PDFBibTeX XMLCite \textit{F. Schieweck}, ESAIM, Math. Model. Numer. Anal. 42, No. 3, 493--505 (2008; Zbl 1154.76034) Full Text: DOI EuDML
Heuveline, V.; Schieweck, F. \(H^{1}\)-interpolation on quadrilateral and hexahedral meshes with hanging nodes. (English) Zbl 1133.65100 Computing 80, No. 3, 203-220 (2007). Reviewer: Christian Grossmann (Dresden) MSC: 65N30 41A29 65N50 65N15 PDFBibTeX XMLCite \textit{V. Heuveline} and \textit{F. Schieweck}, Computing 80, No. 3, 203--220 (2007; Zbl 1133.65100) Full Text: DOI
Heuveline, Vincent; Schieweck, Friedhelm On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes. (English) Zbl 1129.65086 ESAIM, Math. Model. Numer. Anal. 41, No. 1, 1-20 (2007). Reviewer: Petr Necesal (Plzen) MSC: 65N30 35J25 35Q30 65N50 65N12 PDFBibTeX XMLCite \textit{V. Heuveline} and \textit{F. Schieweck}, ESAIM, Math. Model. Numer. Anal. 41, No. 1, 1--20 (2007; Zbl 1129.65086) Full Text: DOI Numdam EuDML
Creusé, Emmanuel; Nicaise, Serge Anisotropic ‘a posteriori’ error estimation for the mixed discontinuous Galerkin approximation of the Stokes problem. (English) Zbl 1091.65110 Numer. Methods Partial Differ. Equations 22, No. 2, 449-483 (2006). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N30 35Q30 PDFBibTeX XMLCite \textit{E. Creusé} and \textit{S. Nicaise}, Numer. Methods Partial Differ. Equations 22, No. 2, 449--483 (2006; Zbl 1091.65110) Full Text: DOI
Apel, T.; Nicaise, S. The inf-sup condition for low order elements on anisotropic meshes. (English) Zbl 1108.65117 Calcolo 41, No. 2, 89-113 (2004). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 35Q30 PDFBibTeX XMLCite \textit{T. Apel} and \textit{S. Nicaise}, Calcolo 41, No. 2, 89--113 (2004; Zbl 1108.65117) Full Text: DOI
Creusé, E.; Nicaise, S.; Kunert, G. A posteriori error estimation for the Stokes problem: Anisotropic and isotropic discretizations. (English) Zbl 1071.65142 Math. Models Methods Appl. Sci. 14, No. 9, 1297-1341 (2004). Reviewer: Volker John (Saarbrücken) MSC: 65N15 65N30 35Q30 PDFBibTeX XMLCite \textit{E. Creusé} et al., Math. Models Methods Appl. Sci. 14, No. 9, 1297--1341 (2004; Zbl 1071.65142) 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
Heuveline, V. On higher-order mixed FEM for low mach number flows: application to a natural convection benchmark problem. (English) Zbl 1047.76045 Int. J. Numer. Methods Fluids 41, No. 12, 1339-1356 (2003). MSC: 76M10 76R10 76N15 80A20 PDFBibTeX XMLCite \textit{V. Heuveline}, Int. J. Numer. Methods Fluids 41, No. 12, 1339--1356 (2003; Zbl 1047.76045) Full Text: DOI
Boillat, Eric Finite element methods on non-conforming grids by penalizing the matching constraint. (English) Zbl 1043.65124 M2AN, Math. Model. Numer. Anal. 37, No. 2, 357-372 (2003). Reviewer: Raico R. D. Lazarov (College Station) MSC: 65N30 65F10 65N12 35J25 65N50 PDFBibTeX XMLCite \textit{E. Boillat}, M2AN, Math. Model. Numer. Anal. 37, No. 2, 357--372 (2003; Zbl 1043.65124) Full Text: DOI Numdam EuDML
Toselli, Andrea; Schwab, Christoph Mixed \(hp\)-finite element approximations on geometric edge and boundary layer meshes in three dimensions. (English) Zbl 1051.65111 Numer. Math. 94, No. 4, 771-801 (2003). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65N30 35Q30 65N12 35J25 65N55 PDFBibTeX XMLCite \textit{A. Toselli} and \textit{C. Schwab}, Numer. Math. 94, No. 4, 771--801 (2003; Zbl 1051.65111) Full Text: DOI
Apel, Thomas; Randrianarivony, H. Maharavo Stability of discretizations of the Stokes problem on anisotropic meshes. (English) Zbl 1205.76072 Math. Comput. Simul. 61, No. 3-6, 437-447 (2003). MSC: 76D05 76M25 PDFBibTeX XMLCite \textit{T. Apel} and \textit{H. M. Randrianarivony}, Math. Comput. Simul. 61, No. 3--6, 437--447 (2003; Zbl 1205.76072) Full Text: DOI
Toselli, Andrea \(hp\) discontinuous Galerkin approximations for the Stokes problem. (English) Zbl 1041.76045 Math. Models Methods Appl. Sci. 12, No. 11, 1565-1597 (2002). MSC: 76M10 76D07 35Q30 65N30 PDFBibTeX XMLCite \textit{A. Toselli}, Math. Models Methods Appl. Sci. 12, No. 11, 1565--1597 (2002; Zbl 1041.76045) Full Text: DOI
Mackerle, Jaroslav Error estimates and adaptive finite element methods. A bibliography (1990–2000). (English) Zbl 0985.65140 Eng. Comput. (Bradf.) 18, No. 5-6, 802-914 (2001). MSC: 65N30 74S05 65N15 65-00 74-00 65M60 65M15 78M10 PDFBibTeX XMLCite \textit{J. Mackerle}, Eng. Comput. (Bradf.) 18, No. 5--6, 802--914 (2001; Zbl 0985.65140) Full Text: DOI
Schwab, Christoph; Suri, Manil Mixed \(hp\) finite element methods for Stokes and non-Newtonian flow. (English) Zbl 0924.76052 Comput. Methods Appl. Mech. Eng. 175, No. 3-4, 217-241 (1999). MSC: 76M10 76D07 76A05 PDFBibTeX XMLCite \textit{C. Schwab} and \textit{M. Suri}, Comput. Methods Appl. Mech. Eng. 175, No. 3--4, 217--241 (1999; Zbl 0924.76052) Full Text: DOI