Pencheva, Gergina V.; Vohralík, Martin; Wheeler, Mary F.; Wildey, Tim Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling. (English) Zbl 1267.65165 SIAM J. Numer. Anal. 51, No. 1, 526-554 (2013). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N15 65N30 35J25 65N55 65N50 PDFBibTeX XMLCite \textit{G. V. Pencheva} et al., SIAM J. Numer. Anal. 51, No. 1, 526--554 (2013; Zbl 1267.65165) Full Text: DOI HAL
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan A multiscale mortar multipoint flux mixed finite element method. (English) Zbl 1275.65082 ESAIM, Math. Model. Numer. Anal. 46, No. 4, 759-796 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N06 65N12 65N15 65N22 35J25 65N55 PDFBibTeX XMLCite \textit{M. F. Wheeler} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 4, 759--796 (2012; Zbl 1275.65082) Full Text: DOI
Ingram, Ross; Wheeler, Mary F.; Yotov, Ivan A multipoint flux mixed finite element method on hexahedra. (English) Zbl 1228.65225 SIAM J. Numer. Anal. 48, No. 4, 1281-1312 (2010). Reviewer: Martin Reißel (Aachen) MSC: 65N30 65N06 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{R. Ingram} et al., SIAM J. Numer. Anal. 48, No. 4, 1281--1312 (2010; Zbl 1228.65225) Full Text: DOI
Girault, Vivette; Sun, Shuyu; Wheeler, Mary F.; Yotov, Ivan Coupling discontinuous Galerkin and mixed finite element discretizations using mortar finite elements. (English) Zbl 1165.65075 SIAM J. Numer. Anal. 46, No. 2, 949-979 (2008). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 65N55 76S05 76M10 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{V. Girault} et al., SIAM J. Numer. Anal. 46, No. 2, 949--979 (2008; Zbl 1165.65075) Full Text: DOI
Girault, Vivette; Wheeler, Mary F. Discontinuous Galerkin methods. (English) Zbl 1149.65323 Glowinski, Roland (ed.) et al., Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Dordrecht: Springer (ISBN 978-1-4020-8757-8/hbk). Computational Methods in Applied Sciences (Springer) 16, 3-26 (2008). MSC: 65N30 35J05 35J25 35Q30 76S05 76M10 65N15 PDFBibTeX XMLCite \textit{V. Girault} and \textit{M. F. Wheeler}, in: Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Dordrecht: Springer. 3--26 (2008; Zbl 1149.65323)
Russell, Thomas F.; Wheeler, Mary F.; Yotov, Ivan Superconvergence for control-volume mixed finite element methods on rectangular grids. (English) Zbl 1160.65055 SIAM J. Numer. Anal. 45, No. 1, 223-235 (2007). Reviewer: Roland Pulch (Wuppertal) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{T. F. Russell} et al., SIAM J. Numer. Anal. 45, No. 1, 223--235 (2007; Zbl 1160.65055) Full Text: DOI
Aavatsmark, I.; Eigestad, G. T.; Klausen, R. A.; Wheeler, M. F.; Yotov, I. Convergence of a symmetric MPFA method on quadrilateral grids. (English) Zbl 1128.65093 Comput. Geosci. 11, No. 4, 333-345 (2007). MSC: 65N12 35J25 65N30 65N50 PDFBibTeX XMLCite \textit{I. Aavatsmark} et al., Comput. Geosci. 11, No. 4, 333--345 (2007; Zbl 1128.65093) Full Text: DOI
Wheeler, Mary F.; Yotov, Ivan A cell-centered finite difference method on quadrilaterals. (English) Zbl 1110.65099 Arnold, Douglas N. (ed.) et al., Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. New York, NY: Springer (ISBN 0-387-30916-0/hbk). The IMA Volumes in Mathematics and its Applications 142, 189-207 (2006). MSC: 65N06 35J25 65N12 PDFBibTeX XMLCite \textit{M. F. Wheeler} and \textit{I. Yotov}, IMA Vol. Math. Appl. 142, 189--207 (2006; Zbl 1110.65099)
Berndt, Markus; Lipnikov, Konstantin; Shashkov, Mikhail; Wheeler, Mary F.; Yotov, Ivan A mortar mimetic finite difference method on nonmatching grids. (English) Zbl 1089.65114 Numer. Math. 102, No. 2, 203-230 (2005). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N06 65N30 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{M. Berndt} et al., Numer. Math. 102, No. 2, 203--230 (2005; Zbl 1089.65114) Full Text: DOI
Wheeler, Mary F.; Yotov, Ivan A posteriori error estimates for the mortar mixed finite element method. (English) Zbl 1094.65114 SIAM J. Numer. Anal. 43, No. 3, 1021-1042 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N15 65N12 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{M. F. Wheeler} and \textit{I. Yotov}, SIAM J. Numer. Anal. 43, No. 3, 1021--1042 (2005; Zbl 1094.65114) Full Text: DOI
Arbogast, Todd; Wheeler, Mary F. A family of rectangular mixed elements with a continuous flux for second order elliptic problems. (English) Zbl 1081.65106 SIAM J. Numer. Anal. 42, No. 5, 1914-1931 (2005). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N30 65N15 35J25 76M10 76D07 76S05 35Q30 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{M. F. Wheeler}, SIAM J. Numer. Anal. 42, No. 5, 1914--1931 (2005; Zbl 1081.65106) Full Text: DOI
Rivière, B.; Wheeler, M. F. A posteriori error estimates for a discontinuous Galerkin method applied to elliptic problems. (English) Zbl 1059.65098 Comput. Math. Appl. 46, No. 1, 141-163 (2003). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65N15 65N30 65N50 35J25 35R05 76M10 76B07 65N12 PDFBibTeX XMLCite \textit{B. Rivière} and \textit{M. F. Wheeler}, Comput. Math. Appl. 46, No. 1, 141--163 (2003; Zbl 1059.65098) Full Text: DOI
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems. (English) Zbl 1010.65045 SIAM J. Numer. Anal. 39, No. 3, 902-931 (2001). Reviewer: Ll.G.Chambers (Bangor) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{B. Rivière} et al., SIAM J. Numer. Anal. 39, No. 3, 902--931 (2001; Zbl 1010.65045) Full Text: DOI
Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan Mixed finite element methods on nonmatching multiblock grids. (English) Zbl 1001.65126 SIAM J. Numer. Anal. 37, No. 4, 1295-1315 (2000). MSC: 65N30 65Y05 35J25 65N12 65N15 65N55 PDFBibTeX XMLCite \textit{T. Arbogast} et al., SIAM J. Numer. Anal. 37, No. 4, 1295--1315 (2000; Zbl 1001.65126) Full Text: DOI
Wheeler, Mary F.; Yotov, Ivan Multigrid on the interface for mortar mixed finite element methods for elliptic problems. (English) Zbl 0970.76059 Comput. Methods Appl. Mech. Eng. 184, No. 2-4, 287-302 (2000). MSC: 76M10 76S05 65N55 PDFBibTeX XMLCite \textit{M. F. Wheeler} and \textit{I. Yotov}, Comput. Methods Appl. Mech. Eng. 184, No. 2--4, 287--302 (2000; Zbl 0970.76059) Full Text: DOI
Rivière, Béatrice; Wheeler, Mary F.; Girault, Vivette Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I. (English) Zbl 0951.65108 Comput. Geosci. 3, No. 3-4, 337-360 (1999). Reviewer: Ziwen Jiang (Shandong) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{B. Rivière} et al., Comput. Geosci. 3, No. 3--4, 337--360 (1999; Zbl 0951.65108) Full Text: DOI
Arbogast, Todd; Dawson, Clint N.; Keenan, Philip T.; Wheeler, Mary F.; Yotov, Ivan Enhanced cell-centered finite differences for elliptic equations on general geometry. (English) Zbl 0947.65114 SIAM J. Sci. Comput. 19, No. 2, 404-425 (1998). Reviewer: R.R.D.Lazarov (College Station) MSC: 65N06 35J25 65N50 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{T. Arbogast} et al., SIAM J. Sci. Comput. 19, No. 2, 404--425 (1998; Zbl 0947.65114) Full Text: DOI
Arbogast, Todd; Wheeler, Mary F.; Yotov, Ivan Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences. (English) Zbl 0880.65084 SIAM J. Numer. Anal. 34, No. 2, 828-852 (1997). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65N30 35J25 65N06 65N12 65N15 PDFBibTeX XMLCite \textit{T. Arbogast} et al., SIAM J. Numer. Anal. 34, No. 2, 828--852 (1997; Zbl 0880.65084) Full Text: DOI
Kuznetsov, Yu. A.; Wheeler, M. F. Optimal order substructuring preconditioners for mixed finite element methods on nonmatching grids. (English) Zbl 0832.65134 East-West J. Numer. Math. 3, No. 2, 127-143 (1995). Reviewer: M.A.Ibiejugba (Ilorin) MSC: 65N55 65N50 65F35 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{M. F. Wheeler}, East-West J. Numer. Math. 3, No. 2, 127--143 (1995; Zbl 0832.65134)
Cowsar, Lawrence C.; Mandel, Jan; Wheeler, Mary F. Balancing domain decomposition for mixed finite elements. (English) Zbl 0828.65135 Math. Comput. 64, No. 211, 989-1015 (1995). Reviewer: W.Heinrichs (Düsseldorf) MSC: 65N55 65N30 65Y05 35J25 PDFBibTeX XMLCite \textit{L. C. Cowsar} et al., Math. Comput. 64, No. 211, 989--1015 (1995; Zbl 0828.65135) Full Text: DOI
Cowsar, L. C.; Dean, E. J.; Glowinski, R.; Le Tallec, P.; Li, C. H.; Periaux, J.; Wheeler, M. F. Decomposition principles and their applications in scientific computing. (English) Zbl 0799.65127 Dongarra, Jack (ed.) et al., Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM. 213-237 (1992). MSC: 65N55 65-02 65M20 65Y05 65N30 35J25 35K15 PDFBibTeX XMLCite \textit{L. C. Cowsar} et al., in: Proceedings of the fifth SIAM conference on parallel processing for scientific computing, held in Houston, TX, USA, March 25-27, 1991. Philadelphia, PA: SIAM. 213--237 (1992; Zbl 0799.65127)
Cowsar, Lawrence C.; Wheeler, Mary F. Parallel domain decomposition method for mixed finite elements for elliptic partial differential equations. (English) Zbl 0770.65080 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 358-372 (1991). MSC: 65N55 65Y05 65N30 35J25 PDFBibTeX XMLCite \textit{L. C. Cowsar} and \textit{M. F. Wheeler}, in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 358--372 (1991; Zbl 0770.65080)
Glowinski, R.; Kinton, W.; Wheeler, M. F. Acceleration of domain decomposition algorithms for mixed finite elements by multi-level methods. (English) Zbl 0704.65081 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 263-289 (1990). Reviewer: P.Burda MSC: 65N30 65N50 65N55 35J25 PDFBibTeX XML
Glowinski, Roland; Wheeler, Mary Fanett Domain decomposition and mixed finite element methods for elliptic problems. (English) Zbl 0661.65105 Domain decomposition methods for partial differential equations, 1st Int. Symp., Paris/France 1987, 144-172 (1988). Reviewer: J.Vaníček MSC: 65N30 76S05 35J25 PDFBibTeX XML
Wheeler, M. F.; Whiteman, J. R. Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. (English) Zbl 0706.65108 Numer. Methods Partial Differ. Equations 3, No. 4, 357-374 (1987). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{M. F. Wheeler} and \textit{J. R. Whiteman}, Numer. Methods Partial Differ. Equations 3, No. 4, 357--374 (1987; Zbl 0706.65108) Full Text: DOI
Gonzalez, Ruth; Wheeler, Mary Fanett Domain decomposition for elliptic partial differential equations with Neumann boundary conditions. (English) Zbl 0652.65079 Parallel Comput. 5, 257-263 (1987). Reviewer: P.S.Vassilevski MSC: 65N22 65F10 35J25 PDFBibTeX XMLCite \textit{R. Gonzalez} and \textit{M. F. Wheeler}, Parallel Comput. 5, 257--263 (1987; Zbl 0652.65079) Full Text: DOI Link
Percell, Peter; Wheeler, Mary Fanett A \(C^ 1\) finite element collocation method for elliptic equations. (English) Zbl 0532.65076 SIAM J. Numer. Anal. 17, 605-622 (1980). MSC: 65N35 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{P. Percell} and \textit{M. F. Wheeler}, SIAM J. Numer. Anal. 17, 605--622 (1980; Zbl 0532.65076) Full Text: DOI
Percell, Peter; Wheeler, Mary Fanett A local residual finite element procedure for elliptic equations. (English) Zbl 0396.65067 SIAM J. Numer. Anal. 15, 705-714 (1978). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{P. Percell} and \textit{M. F. Wheeler}, SIAM J. Numer. Anal. 15, 705--714 (1978; Zbl 0396.65067) Full Text: DOI
Wheeler, Mary Fanett An elliptic collocation-finite element method with interior penalties. (English) Zbl 0384.65058 SIAM J. Numer. Anal. 15, 152-161 (1978). MSC: 65N35 35J25 65N30 PDFBibTeX XMLCite \textit{M. F. Wheeler}, SIAM J. Numer. Anal. 15, 152--161 (1978; Zbl 0384.65058) Full Text: DOI
Douglas, Jim jun.; Dupont, Todd; Wheeler, Mary Fanett A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems. (English) Zbl 0315.65063 Rev. Franc. Automat. Inform. Rech. Operat. 8, Analyse numer., R-2, 47-59 (1974). MSC: 65N30 35J25 35K20 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Rev. Franc. Automat. Inform. Rech. Operat., R 8, No. 2, 47--59 (1974; Zbl 0315.65063) Full Text: EuDML