Multiscale mortar mixed methods for heterogeneous elliptic problems

DOI10.1090/CONM/586/11648zbMath1280.65136OpenAlexW4243831289MaRDI QIDQ2869147

Todd Arbogast, Hailong Xiao, Zhen Tao

Publication date: 3 January 2014

Published in: Recent Advances in Scientific Computing and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3e1dea981e9205ff75443e071f6e357932208a2e

zbMATH Keywords

finite element methodnumerical exampleshomogenizationsecond-order elliptic problemnonoverlapping domain decompositionmortar space

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

A multiscale domain decomposition approach for parabolic equations using expanded mixed method ⋮ Compact 9-point finite difference methods with high accuracy order and/or M-matrix property for elliptic cross-interface problems ⋮ Analysis of multiscale mortar mixed approximation of nonlinear elliptic equations ⋮ Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems ⋮ Multiscale mortar expanded mixed discretization of nonlinear elliptic problems ⋮ Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations ⋮ On a Multiscale Hybrid-Mixed Method for Advective-Reactive Dominated Problems with Heterogeneous Coefficients

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