Kim, Mi-Young; Wheeler, Mary F. A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems. (English) Zbl 1361.35044 Comput. Math. Appl. 68, No. 12, Part B, 2251-2261 (2014). MSC: 35G20 65N30 PDFBibTeX XMLCite \textit{M.-Y. Kim} and \textit{M. F. Wheeler}, Comput. Math. Appl. 68, No. 12, Part B, 2251--2261 (2014; Zbl 1361.35044) Full Text: DOI
Kim, Mi-Young; Wheeler, Mary F. Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems. (English) Zbl 1350.65109 Comput. Math. Appl. 67, No. 1, 181-198 (2014). MSC: 65M60 65M55 35K57 65M12 65Y05 PDFBibTeX XMLCite \textit{M.-Y. Kim} and \textit{M. F. Wheeler}, Comput. Math. Appl. 67, No. 1, 181--198 (2014; Zbl 1350.65109) Full Text: DOI
Liu, Ruijie; Wheeler, Mary F.; Yotov, Ivan On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity. (English) Zbl 1297.74121 Comput. Methods Appl. Mech. Eng. 253, 219-236 (2013). MSC: 74S05 65M60 74C05 PDFBibTeX XMLCite \textit{R. Liu} et al., Comput. Methods Appl. Mech. Eng. 253, 219--236 (2013; Zbl 1297.74121) Full Text: DOI
Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. H. A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems. (English) Zbl 1225.74096 Comput. Methods Appl. Mech. Eng. 199, No. 49-52, 3213-3226 (2010). MSC: 74S05 74C05 74C15 PDFBibTeX XMLCite \textit{R. Liu} et al., Comput. Methods Appl. Mech. Eng. 199, No. 49--52, 3213--3226 (2010; Zbl 1225.74096) Full Text: DOI
Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. H. On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems. (English) Zbl 1230.74189 Comput. Methods Appl. Mech. Eng. 198, No. 41-44, 3499-3510 (2009). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{R. Liu} et al., Comput. Methods Appl. Mech. Eng. 198, No. 41--44, 3499--3510 (2009; Zbl 1230.74189) Full Text: DOI
Liu, R.; Wheeler, M. F.; Dawson, C. N.; Dean, R. Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method. (English) Zbl 1229.76053 Comput. Methods Appl. Mech. Eng. 198, No. 9-12, 912-919 (2009). MSC: 76M10 76S05 76R10 74F10 80A20 PDFBibTeX XMLCite \textit{R. Liu} et al., Comput. Methods Appl. Mech. Eng. 198, No. 9--12, 912--919 (2009; Zbl 1229.76053) Full Text: DOI
Wang, Kaixin; Wang, Hong; Sun, Shuyu; Wheeler, Mary F. An optimal-order \(L^2\)-error estimate for nonsymmetric discontinuous Galerkin methods for a parabolic equation in multiple space dimensions. (English) Zbl 1227.65085 Comput. Methods Appl. Mech. Eng. 198, No. 27-29, 2190-2197 (2009). MSC: 65M15 65M60 76R50 PDFBibTeX XMLCite \textit{K. Wang} et al., Comput. Methods Appl. Mech. Eng. 198, No. 27--29, 2190--2197 (2009; Zbl 1227.65085) Full Text: DOI
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
Sun, Shuyu; Wheeler, Mary F. Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport. (English) Zbl 1117.76061 Comput. Geosci. 11, No. 2, 87-101 (2007). MSC: 76S05 65M15 65M60 76M10 76V05 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Geosci. 11, No. 2, 87--101 (2007; Zbl 1117.76061) Full Text: DOI
Sun, Shuyu; Wheeler, M. F. Analysis of discontinuous Galerkin methods for multicomponent reactive transport problems. (English) Zbl 1129.65068 Comput. Math. Appl. 52, No. 5, 637-650 (2006). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 76M10 76S05 76V05 65M15 65M12 35K55 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Math. Appl. 52, No. 5, 637--650 (2006; Zbl 1129.65068) Full Text: DOI
Sun, Shuyu; Wheeler, Mary F. Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport. (English) Zbl 1175.76096 Comput. Methods Appl. Mech. Eng. 195, No. 25-28, 3382-3405 (2006). MSC: 76M10 76V05 76S05 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Methods Appl. Mech. Eng. 195, No. 25--28, 3382--3405 (2006; Zbl 1175.76096) Full Text: DOI
Sun, Shuyu; Wheeler, Mary F. Projections of velocity data for the compatibility with transport. (English) Zbl 1091.76041 Comput. Methods Appl. Mech. Eng. 195, No. 7-8, 653-673 (2006). MSC: 76M10 76S05 65N30 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 653--673 (2006; Zbl 1091.76041) Full Text: DOI
Sun, Shuyu; Wheeler, Mary F. A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems. (English) Zbl 1091.76040 Comput. Methods Appl. Mech. Eng. 195, No. 7-8, 632-652 (2006). MSC: 76M10 76V05 65M15 65M50 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 632--652 (2006; Zbl 1091.76040) Full Text: DOI
Sun, Shuyu; Wheeler, Mary F. \(L^{2}(H^{1})\) norm a posteriori error estimation for discontinuous Galerkin approximations of reactive transport problems. (English) Zbl 1066.76037 J. Sci. Comput. 22-23, 501-530 (2005). MSC: 76M10 76V05 76S05 65M15 65M60 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, J. Sci. Comput. 22--23, 501--530 (2005; Zbl 1066.76037) Full Text: DOI
Sun, Shuyu; Wheeler, Mary F. Discontinuous Galerkin methods for coupled flow and reactive transport problems. (English) Zbl 1079.76584 Appl. Numer. Math. 52, No. 2-3, 273-298 (2005). MSC: 76M10 PDFBibTeX XMLCite \textit{S. Sun} and \textit{M. F. Wheeler}, Appl. Numer. Math. 52, No. 2--3, 273--298 (2005; Zbl 1079.76584) 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
Dawson, Clint; Sun, Shuyu; Wheeler, Mary F. Compatible algorithms for coupled flow and transport. (English) Zbl 1067.76565 Comput. Methods Appl. Mech. Eng. 193, No. 23-26, 2565-2580 (2004). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{C. Dawson} et al., Comput. Methods Appl. Mech. Eng. 193, No. 23--26, 2565--2580 (2004; Zbl 1067.76565) 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