Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems

DOI10.1137/060654207zbMath1170.35007OpenAlexW2076488661MaRDI QIDQ3614178

Tatyana Y. Savchuk, Zhang-Xin Chen

Publication date: 16 March 2009

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

Full work available at URL: https://semanticscholar.org/paper/49c3f9b32b28e9184ed0f69da37e8bae1d0632ac

zbMATH Keywords

stabilityconvergenceerror estimatehighly oscillatory coefficientsoversampling technique

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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