Multiscale methods for elliptic homogenization problems

DOI10.1002/num.20099zbMath1091.65113OpenAlexW2062335820MaRDI QIDQ5469034

Zhang-Xin Chen

Publication date: 16 May 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20099

zbMATH Keywords

stabilityerror estimatesmixed finite elementheterogeneous porous mediumheterogeneous multiscale methodmultiscale finite elementelliptic homogenization problems

Mathematics Subject Classification ID

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) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

• The heterogeneous multiscale methods
• Mixed and Hybrid Finite Element Methods
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