A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems

DOI10.1137/120874928zbMath1267.65192OpenAlexW2049248042MaRDI QIDQ4918810

Hailong Xiao, Todd Arbogast

Publication date: 6 May 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dd2f7023fbf9610f5719478e78e5f2ed30f98e9f

zbMATH Keywords

convergencenumerical exampleshomogenizationparallel computingmixed methodnonoverlapping domain decompositionmultiscale finite elementlinear second-order elliptic equationmultiscale mortar method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Parallel numerical computation (65Y05)

Related Items (17)

Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow ⋮ Mixed Multiscale Methods for Heterogeneous Elliptic Problems ⋮ A multiscale domain decomposition approach for parabolic equations using expanded mixed method ⋮ Residual driven online mortar mixed finite element methods and applications ⋮ Multiscale HDG model reduction method for flows in heterogeneous porous media ⋮ On the robustness of multiscale hybrid-mixed methods ⋮ Abstract multiscale-hybrid-mixed methods ⋮ An Adaptive Preconditioner for Three-Dimensional Single-Phase Compressible Flow in Highly Heterogeneous Porous Media ⋮ Compact 9-point finite difference methods with high accuracy order and/or M-matrix property for elliptic cross-interface problems ⋮ Foundations of the MHM Method ⋮ A two-grid preconditioner with an adaptive coarse space for flow simulations in highly heterogeneous media ⋮ A local-global multiscale mortar mixed finite element method for multiphase transport in heterogeneous media ⋮ Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems ⋮ A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems ⋮ An Enriched Multiscale Mortar Space for High Contrast Flow Problems ⋮ The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method ⋮ Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations

Uses Software

• MMMFEM

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