Choi, Hyung Jun An error analysis of the finite element method of the Stokes equations with parameter based on the singular function expansion. (English) Zbl 07779731 Numer. Methods Partial Differ. Equations 39, No. 1, 795-820 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 35Q35 PDFBibTeX XMLCite \textit{H. J. Choi}, Numer. Methods Partial Differ. Equations 39, No. 1, 795--820 (2023; Zbl 07779731) Full Text: DOI
Rukavishnikov, Viktor A.; Rukavishnikov, Alexey V. Theoretical analysis and construction of numerical method for solving the Navier-Stokes equations in rotation form with corner singularity. (English) Zbl 1518.65134 J. Comput. Appl. Math. 429, Article ID 115218, 22 p. (2023). MSC: 65N30 65Z05 35Q30 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{A. V. Rukavishnikov}, J. Comput. Appl. Math. 429, Article ID 115218, 22 p. (2023; Zbl 1518.65134) Full Text: DOI
Busuioc, Valentina; Gallay, Thierry; Joly, Romain In memoriam: Geneviève Raugel. (English) Zbl 1498.01021 J. Dyn. Differ. Equations 34, No. 4, 2585-2592 (2022). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Busuioc} et al., J. Dyn. Differ. Equations 34, No. 4, 2585--2592 (2022; Zbl 1498.01021) Full Text: DOI
Rukavishnikov, Viktor A.; Rukavishnikov, Alexey V. Weighted finite element method for the Stokes problem with corner singularity. (English) Zbl 1427.76143 J. Comput. Appl. Math. 341, 144-156 (2018). MSC: 76M10 65N30 35Q30 PDFBibTeX XMLCite \textit{V. A. Rukavishnikov} and \textit{A. V. Rukavishnikov}, J. Comput. Appl. Math. 341, 144--156 (2018; Zbl 1427.76143) Full Text: DOI
Choi, Hyung Jun An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem. (English) Zbl 1369.76022 Comput. Math. Appl. 73, No. 3, 450-464 (2017). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{H. J. Choi}, Comput. Math. Appl. 73, No. 3, 450--464 (2017; Zbl 1369.76022) Full Text: DOI
Choi, Hyung Jun; Kweon, Jae Ryong A finite element method for singular solutions of the Navier-Stokes equations on a non-convex polygon. (English) Zbl 1325.76115 J. Comput. Appl. Math. 292, 342-362 (2016). MSC: 76M10 76D05 35Q30 65N12 65N30 PDFBibTeX XMLCite \textit{H. J. Choi} and \textit{J. R. Kweon}, J. Comput. Appl. Math. 292, 342--362 (2016; Zbl 1325.76115) Full Text: DOI
Chorfi, Nejmeddine Geometric singularities of the Stokes problem. (English) Zbl 1470.65194 Abstr. Appl. Anal. 2014, Article ID 491326, 8 p. (2014). MSC: 65N30 35Q35 35A20 PDFBibTeX XMLCite \textit{N. Chorfi}, Abstr. Appl. Anal. 2014, Article ID 491326, 8 p. (2014; Zbl 1470.65194) Full Text: DOI
Lee, Young-Ju; Li, Hengguang Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations. (English) Zbl 1268.76021 Comput. Math. Appl. 64, No. 11, 3500-3521 (2012). MSC: 76D07 76M10 65N30 35Q35 65N12 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{H. Li}, Comput. Math. Appl. 64, No. 11, 3500--3521 (2012; Zbl 1268.76021) Full Text: DOI arXiv
Quarteroni, Alfio; Ruiz-Baier, Ricardo Analysis of a finite volume element method for the Stokes problem. (English) Zbl 1230.65130 Numer. Math. 118, No. 4, 737-764 (2011). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N08 35Q30 65N12 65N15 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{R. Ruiz-Baier}, Numer. Math. 118, No. 4, 737--764 (2011; Zbl 1230.65130) Full Text: DOI
Beirão da Veiga, L.; Gyrya, V.; Lipnikov, K.; Manzini, G. Mimetic finite difference method for the Stokes problem on polygonal meshes. (English) Zbl 1172.76032 J. Comput. Phys. 228, No. 19, 7215-7232 (2009). MSC: 76M20 76D07 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., J. Comput. Phys. 228, No. 19, 7215--7232 (2009; Zbl 1172.76032) Full Text: DOI Link
Farhloul, M.; Nicaise, S.; Paquet, L. A priori and a posteriori error estimations for the dual mixed finite element method of the Navier-Stokes problem. (English) Zbl 1166.76027 Numer. Methods Partial Differ. Equations 25, No. 4, 843-869 (2009). MSC: 76M10 76D05 65N15 65N30 PDFBibTeX XMLCite \textit{M. Farhloul} et al., Numer. Methods Partial Differ. Equations 25, No. 4, 843--869 (2009; Zbl 1166.76027) Full Text: DOI
Nicaise, S.; Soualem, N. A posteriori error estimates for a nonconforming finite element discretization of the time-dependent Stokes problem. II: Analysis of the spatial estimator. (English) Zbl 1213.76121 J. Numer. Math. 15, No. 3, 209-231 (2007). MSC: 76M10 76D07 65M15 65M60 PDFBibTeX XMLCite \textit{S. Nicaise} and \textit{N. Soualem}, J. Numer. Math. 15, No. 3, 209--231 (2007; Zbl 1213.76121) Full Text: DOI
Nazarov, Sergueï A.; Sweers, Guido A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners. (English) Zbl 1108.35043 J. Differ. Equations 233, No. 1, 151-180 (2007). Reviewer: V. Leontiev (Ulyanovsk) MSC: 35J40 74K20 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{G. Sweers}, J. Differ. Equations 233, No. 1, 151--180 (2007; Zbl 1108.35043) Full Text: DOI
Ohmori, Katsushi; Saito, Norikazu On the convergence of finite element solutions to the interface problem for the Stokes system. (English) Zbl 1100.76036 J. Comput. Appl. Math. 198, No. 1, 116-128 (2007). MSC: 76M10 76D07 65N12 PDFBibTeX XMLCite \textit{K. Ohmori} and \textit{N. Saito}, J. Comput. Appl. Math. 198, No. 1, 116--128 (2007; Zbl 1100.76036) Full Text: DOI
Belhachmi, Zakaria; Bernardi, Christine Resolution of fourth-order problems by the mortar element method. (English) Zbl 0824.65111 Comput. Methods Appl. Mech. Eng. 116, 53-58 (1994). Reviewer: V.Kravchenko (Mexico) MSC: 65N30 35J40 31A30 PDFBibTeX XMLCite \textit{Z. Belhachmi} and \textit{C. Bernardi}, Comput. Methods Appl. Mech. Eng. 116, No. 1--4, 53--58 (1994; Zbl 0824.65111) Full Text: DOI
Costabel, Martin; Dauge, Monique Construction of corner singularities for Agmon-Douglis-Nirenberg elliptic systems. (English) Zbl 0802.35032 Math. Nachr. 162, 209-237 (1993). MSC: 35J25 35B65 35C20 PDFBibTeX XMLCite \textit{M. Costabel} and \textit{M. Dauge}, Math. Nachr. 162, 209--237 (1993; Zbl 0802.35032) Full Text: DOI
Bernardi, Christine; Coppoletta, Giuseppe; Maday, Yvon Some spectral approximations of two-dimensional fourth-order problems. (English) Zbl 0754.65088 Math. Comput. 59, No. 199, 63-76 (1992). Reviewer: H.R.Schwarz (Zürich) MSC: 65N35 65N15 31A30 35J40 PDFBibTeX XMLCite \textit{C. Bernardi} et al., Math. Comput. 59, No. 199, 63--76 (1992; Zbl 0754.65088) Full Text: DOI
Chettab, Mahieddine; Lubuma, Mbaro-Saman Coefficients of singularities and mixed methods for the mixed Dirichlet- Neumann problem for the Stokes operator on a polygon. (English) Zbl 0728.65101 J. Comput. Appl. Math. 35, No. 1-3, 139-157 (1991). Reviewer: R.Redlinger (Karlsruhe) MSC: 65Z05 65N30 35Q30 76D07 PDFBibTeX XMLCite \textit{M. Chettab} and \textit{M.-S. Lubuma}, J. Comput. Appl. Math. 35, No. 1--3, 139--157 (1991; Zbl 0728.65101) Full Text: DOI
Bernardi, Christine; Maday, Yvon Polynomial approximation of some singular functions. (English) Zbl 0701.41009 Appl. Anal. 42, No. 1, 1-32 (1991). Reviewer: C.Bernardi MSC: 41A10 65N15 PDFBibTeX XMLCite \textit{C. Bernardi} and \textit{Y. Maday}, Appl. Anal. 42, No. 1, 1--32 (1991; Zbl 0701.41009) Full Text: DOI
Verfürth, R. A posteriori error estimators for the Stokes equations. II: Non- conforming discretizations. (English) Zbl 0739.76035 Numer. Math. 60, No. 2, 235-249 (1991). MSC: 76M10 76D07 76D05 65F10 65N22 PDFBibTeX XMLCite \textit{R. Verfürth}, Numer. Math. 60, No. 2, 235--249 (1991; Zbl 0739.76035) Full Text: DOI EuDML
Jensen, Soren On computing the pressure by the \(p\) version of the finite element method for Stokes problem. (English) Zbl 0741.76038 Numer. Math. 59, No. 6, 581-601 (1991). MSC: 76M10 76D07 65N12 65N15 PDFBibTeX XMLCite \textit{S. Jensen}, Numer. Math. 59, No. 6, 581--601 (1991; Zbl 0741.76038) Full Text: DOI EuDML
Maday, Y.; Métivet, B. Chebyshev spectral approximation of Navier-Stokes equations in a two- dimensional domain. (English) Zbl 0607.76024 RAIRO, Modélisation Math. Anal. Numér. 21, 93-123 (1987). Reviewer: W.Ames MSC: 76D05 65Z05 35Q30 76M99 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{B. Métivet}, RAIRO, Modélisation Math. Anal. Numér. 21, 93--123 (1987; Zbl 0607.76024) Full Text: DOI EuDML
Verfürth, R. Error estimates for a mixed finite element approximation of the Stokes equations. (English) Zbl 0557.76037 RAIRO, Anal. Numér. 18, 175-182 (1984). Reviewer: J.Groß MSC: 76D07 76M99 65N30 PDFBibTeX XMLCite \textit{R. Verfürth}, RAIRO, Anal. Numér. 18, 175--182 (1984; Zbl 0557.76037) Full Text: DOI EuDML