Wheeler, Mary F.; Girault, Vivette; Li, Hanyu A posteriori error estimates for Biot system using a mixed discretization for flow. (English) Zbl 1507.74520 Comput. Methods Appl. Mech. Eng. 402, Article ID 115240, 49 p. (2022). MSC: 74S05 65N15 65N30 PDFBibTeX XMLCite \textit{M. F. Wheeler} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115240, 49 p. (2022; Zbl 1507.74520) Full Text: DOI
Girault, Vivette; Lu, Xueying; Wheeler, Mary F. A posteriori error estimates for Biot system using enriched Galerkin for flow. (English) Zbl 1506.76075 Comput. Methods Appl. Mech. Eng. 369, Article ID 113185, 53 p. (2020). MSC: 76M10 65M60 76S05 PDFBibTeX XMLCite \textit{V. Girault} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113185, 53 p. (2020; Zbl 1506.76075) Full Text: DOI
Girault, Vivette; Wheeler, Mary F.; Kumar, Kundan; Singh, Gurpreet Mixed formulation of a linearized lubrication fracture model in a poro-elastic medium. (English) Zbl 1416.35263 Chetverushkin, B. N. (ed.) et al., Contributions to partial differential equations and applications. Invited papers of the conferences ‘Contributions to partial differential equations’, Université Pierre et Marie Curie, Paris, France, August 31 – September 1, 2015 and ‘Applied and computational mathematics’, University of Houston, Texas, USA, February 26–27, 2016. Cham: Springer. Comput. Methods Appl. Sci. 47, 171-219 (2019). MSC: 35Q74 74Rxx PDFBibTeX XMLCite \textit{V. Girault} et al., Comput. Methods Appl. Sci. 47, 171--219 (2019; Zbl 1416.35263) Full Text: DOI
Girault, Vivette; Kumar, Kundan; Wheeler, Mary F. Convergence of iterative coupling of geomechanics with flow in a fractured poroelastic medium. (English) Zbl 1391.76650 Comput. Geosci. 20, No. 5, 997-1011 (2016). MSC: 76M30 65M12 76S05 PDFBibTeX XMLCite \textit{V. Girault} et al., Comput. Geosci. 20, No. 5, 997--1011 (2016; Zbl 1391.76650) Full Text: DOI
Girault, V.; Nochetto, R. H.; Scott, L. R. Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. (English) Zbl 1401.76087 Numer. Math. 131, No. 4, 771-822 (2015). Reviewer: Pavel Burda (Praha) MSC: 76M10 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{V. Girault} et al., Numer. Math. 131, No. 4, 771--822 (2015; Zbl 1401.76087) Full Text: DOI
Girault, V.; Guillén-González, F. Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. (English) Zbl 1228.35176 Math. Comput. 80, No. 274, 781-819 (2011). MSC: 35Q35 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{V. Girault} and \textit{F. Guillén-González}, Math. Comput. 80, No. 274, 781--819 (2011; Zbl 1228.35176) Full Text: DOI
Girault, Vivette; Murat, François; Salgado, Abner Finite element discretization of Darcy’s equations with pressure-dependent porosity. (English) Zbl 1271.76166 ESAIM, Math. Model. Numer. Anal. 44, No. 6, 1155-1191 (2010). MSC: 76M10 76S05 65N30 65N12 35Q35 PDFBibTeX XMLCite \textit{V. Girault} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 6, 1155--1191 (2010; Zbl 1271.76166) Full Text: DOI EuDML
Girault, Vivette; Pencheva, Gergina V.; Wheeler, Mary F.; Wildey, Tim M. Domain decomposition for linear elasticity with DG jumps and mortars. (English) Zbl 1227.74069 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1751-1765 (2009). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{V. Girault} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1751--1765 (2009; Zbl 1227.74069) Full Text: DOI
Abboud, Hyam; Girault, Vivette; Sayah, Toni A second order accuracy for a full discretized time-dependent Navier-Stokes equations by a two-grid scheme. (English) Zbl 1407.76111 Numer. Math. 114, No. 2, 189-231 (2009). MSC: 76M25 76D05 65M60 65M55 PDFBibTeX XMLCite \textit{H. Abboud} et al., Numer. Math. 114, No. 2, 189--231 (2009; Zbl 1407.76111) Full Text: DOI
Girault, V.; Wheeler, M. F. Numerical discretization of a Darcy-Forchheimer model. (English) Zbl 1143.76035 Numer. Math. 110, No. 2, 161-198 (2008). MSC: 76M10 76S05 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{V. Girault} and \textit{M. F. Wheeler}, Numer. Math. 110, No. 2, 161--198 (2008; Zbl 1143.76035) Full Text: DOI
Girault, V.; Saadouni, M. On a time-dependent grade-two fluid model in two dimensions. (English) Zbl 1122.76009 Comput. Math. Appl. 53, No. 3-4, 347-360 (2007). MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{V. Girault} and \textit{M. Saadouni}, Comput. Math. Appl. 53, No. 3--4, 347--360 (2007; Zbl 1122.76009) Full Text: DOI
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. (English) Zbl 1085.76037 ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1115-1147 (2005). MSC: 76M10 76D05 65M15 65M60 PDFBibTeX XMLCite \textit{V. Girault} et al., ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1115--1147 (2005; Zbl 1085.76037) Full Text: DOI Numdam EuDML
Girault, V.; Nochetto, R. H.; Scott, R. Maximum-norm stability of the finite element Stokes projection. (English) Zbl 1210.76051 J. Math. Pures Appl. (9) 84, No. 3, 279-330 (2005). MSC: 76D07 76D05 65N30 76M10 65N15 PDFBibTeX XMLCite \textit{V. Girault} et al., J. Math. Pures Appl. (9) 84, No. 3, 279--330 (2005; Zbl 1210.76051) Full Text: DOI
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. (English) Zbl 1057.35029 Math. Comput. 74, No. 249, 53-84 (2005). Reviewer: Angela Handlovičová (Bratislava) MSC: 35Q30 76M10 76D07 76D05 76M25 PDFBibTeX XMLCite \textit{V. Girault} et al., Math. Comput. 74, No. 249, 53--84 (2005; Zbl 1057.35029) Full Text: DOI
Girault, V.; Scott, L. R. Hermite interpolation of nonsmooth functions preserving boundary conditions. (English) Zbl 1002.65129 Math. Comput. 71, No. 239, 1043-1074 (2002). Reviewer: Di-Rong Chen (Beijing) MSC: 65N30 65N15 65D05 35Q30 PDFBibTeX XMLCite \textit{V. Girault} and \textit{L. R. Scott}, Math. Comput. 71, No. 239, 1043--1074 (2002; Zbl 1002.65129) Full Text: DOI
Girault, Vivette; Scott, Larkin Ridgway Finite element discretizations of a two-dimensional grade-two fluid model. (English) Zbl 1032.76033 M2AN, Math. Model. Numer. Anal. 35, No. 6, 1007-1053 (2001). MSC: 76M10 65N15 76A05 65N30 PDFBibTeX XMLCite \textit{V. Girault} and \textit{L. R. Scott}, M2AN, Math. Model. Numer. Anal. 35, No. 6, 1007--1053 (2001; Zbl 1032.76033) Full Text: DOI Numdam EuDML
Girault, Vivette; Lions, Jacques-Louis Two-grid finite element schemes for the transient Navier-Stokes problem. (English) Zbl 1032.76032 M2AN, Math. Model. Numer. Anal. 35, No. 5, 945-980 (2001). MSC: 76M10 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{V. Girault} and \textit{J.-L. Lions}, M2AN, Math. Model. Numer. Anal. 35, No. 5, 945--980 (2001; Zbl 1032.76032) Full Text: DOI Numdam EuDML
Amrouche, C.; Girault, V.; Giroire, J. Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces. (English) Zbl 0878.35029 J. Math. Pures Appl., IX. Sér. 76, No. 1, 55-81 (1997). Reviewer: J.Rákosník (Praha) MSC: 35J05 46E35 PDFBibTeX XMLCite \textit{C. Amrouche} et al., J. Math. Pures Appl. (9) 76, No. 1, 55--81 (1997; Zbl 0878.35029) Full Text: DOI
Girault, V. A local projection operator for quadrilateral finite elements. (English) Zbl 0856.65128 Math. Comput. 64, No. 212, 1421-1431 (1995). Reviewer: M.Plum (Karlsruhe) MSC: 65N30 41A55 41A80 65N15 65D32 PDFBibTeX XMLCite \textit{V. Girault}, Math. Comput. 64, No. 212, 1421--1431 (1995; Zbl 0856.65128) Full Text: DOI
Girault, V.; Glowinski, R. Error analysis of a fictitious domain method applied to a Dirichlet problem. (English) Zbl 0843.65076 Japan J. Ind. Appl. Math. 12, No. 3, 487-514 (1995). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{V. Girault} and \textit{R. Glowinski}, Japan J. Ind. Appl. Math. 12, No. 3, 487--514 (1995; Zbl 0843.65076) Full Text: DOI
Amrouche, Chérif; Girault, Vivette Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension. (English) Zbl 0823.35140 Czech. Math. J. 44, No. 1, 109-140 (1994). Reviewer: A.Cichocka (Katowice) MSC: 35Q30 76D07 PDFBibTeX XMLCite \textit{C. Amrouche} and \textit{V. Girault}, Czech. Math. J. 44, No. 1, 109--140 (1994; Zbl 0823.35140) Full Text: EuDML
Amrouche, Chérif; Girault, Vivette On the existence and regularity of the solution of Stokes problem in arbitrary dimension. (English) Zbl 0752.35047 Proc. Japan Acad., Ser. A 67, No. 5, 171-175 (1991). Reviewer: I.Sh.Mogilevskij (Tver) MSC: 35Q30 35R05 76D07 35B65 PDFBibTeX XMLCite \textit{C. Amrouche} and \textit{V. Girault}, Proc. Japan Acad., Ser. A 67, No. 5, 171--175 (1991; Zbl 0752.35047) Full Text: DOI