High-Order Multiscale Finite Element Method for Elliptic Problems

DOI10.1137/120898024zbMath1315.65098OpenAlexW2113373269MaRDI QIDQ5250347

Xueyu Zhu, Shun Zhang, Jan S. Hesthaven

Publication date: 19 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/190663

zbMATH Keywords

error estimatePetrov-Galerkin methodnumerical experimentoversamplinghigh-order accuracymultiscale finite element methodscalar elliptic partial differential equation

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (12)

A weak Galerkin generalized multiscale finite element method ⋮ Numerical homogenization beyond scale separation ⋮ Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods ⋮ An improved multiscale FEM for the free vibrations of heterogeneous solids ⋮ Error analysis of Petrov-Galerkin immersed finite element methods ⋮ Least-squares methods with nonconforming finite elements for general second-order elliptic equations ⋮ An Improved High-Order Method for Elliptic Multiscale Problems ⋮ \textit{A posteriori} error estimation and adaptive strategy for the control of MsFEM computations ⋮ A multiscale finite element method for Neumann problems in porous microstructures ⋮ A hybrid high-order method for highly oscillatory elliptic problems ⋮ A High-Order Approach to Elliptic Multiscale Problems with General Unstructured Coefficients ⋮ Reduced Basis Multiscale Finite Element Methods for Elliptic Problems

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