Analysis of the heterogeneous multiscale method for parabolic homogenization problems

DOI10.1090/S0025-5718-06-01909-0zbMath1129.65067OpenAlexW2075912172MaRDI QIDQ3420426

Pingbing Ming, Pingwen Zhang

Publication date: 2 February 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-06-01909-0

zbMATH Keywords

stabilityconsistencyerror boundsfinite element methodsflow in porous mediacomposite materialsbackward Euler schemeheterogeneous multiscale methodparabolic homogenization problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

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