Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan Martin; Yotov, Ivan A multipoint stress mixed finite element method for elasticity on quadrilateral grids. (English) Zbl 07776050 Numer. Methods Partial Differ. Equations 37, No. 3, 1886-1915 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 1886--1915 (2021; Zbl 07776050) Full Text: DOI arXiv
Ambartsumyan, Ilona; Khattatov, Eldar; Yotov, Ivan A coupled multipoint stress-multipoint flux mixed finite element method for the Biot system of poroelasticity. (English) Zbl 1506.74385 Comput. Methods Appl. Mech. Eng. 372, Article ID 113407, 29 p. (2020). MSC: 74S05 76M10 65M60 74F10 76S05 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113407, 29 p. (2020; Zbl 1506.74385) Full Text: DOI arXiv
Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan A multipoint stress mixed finite element method for elasticity on simplicial grids. (English) Zbl 1451.65181 SIAM J. Numer. Anal. 58, No. 1, 630-656 (2020). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 65N30 65N06 65N12 65N15 74S05 74S20 74B10 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., SIAM J. Numer. Anal. 58, No. 1, 630--656 (2020; Zbl 1451.65181) Full Text: DOI arXiv
Ambartsumyan, Ilona; Khattatov, Eldar; Lee, Jeonghun J.; Yotov, Ivan Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra. (English) Zbl 1425.76124 Math. Models Methods Appl. Sci. 29, No. 6, 1037-1077 (2019). MSC: 76M10 76M12 65N08 65N12 65N15 65N30 76S05 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Math. Models Methods Appl. Sci. 29, No. 6, 1037--1077 (2019; Zbl 1425.76124) Full Text: DOI arXiv
Wheeler, Mary; Xue, Guangri; Yotov, Ivan Coupling multipoint flux mixed finite element methods with continuous Galerkin methods for poroelasticity. (English) Zbl 1395.65093 Comput. Geosci. 18, No. 1, 57-75 (2014). MSC: 65M60 74F10 74S05 86-08 65N08 PDFBibTeX XMLCite \textit{M. Wheeler} et al., Comput. Geosci. 18, No. 1, 57--75 (2014; Zbl 1395.65093) Full Text: DOI
Arrarás, A.; Portero, L.; Yotov, I. Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems. (English) Zbl 1351.76156 J. Comput. Phys. 257, Part B, 1321-1351 (2014). MSC: 76M20 65M06 65M55 76R50 PDFBibTeX XMLCite \textit{A. Arrarás} et al., J. Comput. Phys. 257, Part B, 1321--1351 (2014; Zbl 1351.76156) Full Text: DOI
Wheeler, Mary; Xue, Guangri; Yotov, Ivan A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra. (English) Zbl 1277.65100 Numer. Math. 121, No. 1, 165-204 (2012). MSC: 65N30 65N06 65N12 76S05 76M10 76M20 PDFBibTeX XMLCite \textit{M. Wheeler} et al., Numer. Math. 121, No. 1, 165--204 (2012; Zbl 1277.65100) Full Text: DOI
Pencheva, Gergina; Yotov, Ivan Interior superconvergence in mortar and non-mortar mixed finite element methods on non-matching grids. (English) Zbl 1194.76137 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4307-4318 (2008). MSC: 76M10 76S05 65N12 65N30 PDFBibTeX XMLCite \textit{G. Pencheva} and \textit{I. Yotov}, Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4307--4318 (2008; Zbl 1194.76137) 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
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 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
Arbogast, Todd; Yotov, Ivan A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids. (English) Zbl 0923.76100 Comput. Methods Appl. Mech. Eng. 149, No. 1-4, 255-265 (1997). MSC: 76M10 76S05 PDFBibTeX XMLCite \textit{T. Arbogast} and \textit{I. Yotov}, Comput. Methods Appl. Mech. Eng. 149, No. 1--4, 255--265 (1997; Zbl 0923.76100) Full Text: DOI