Coarse approximation of an elliptic problme with higly oscillatory coefficients

DOI10.1016/j.crma.2013.04.008zbMath1270.35064OpenAlexW2077114126MaRDI QIDQ351372

Mohammad Hasan, M. Dambrine

Publication date: 11 July 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.04.008

zbMATH Keywords

error estimatesnumerical testsequation in divergence form

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (5)

Mathematical analysis of a coupling method for the practical computation of homogenized coefficients ⋮ Mathematical Approaches for Contemporary Materials Science: Addressing Defects in the Microstructure ⋮ On the best constant matrix approximating an oscillatory matrix-valued coefficient in divergence-form operators ⋮ An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation ⋮ Some Remarks on a Coupling Method for the Practical Computation of Homogenized Coefficients

Uses Software

• FreeFem++

Cites Work

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• A possible homogenization approach for the numerical simulation of periodic microstructures with defects
• Stochastic homogenization and random lattices
• Multiscale Finite Element Methods
• A Definition of the Ground State Energy for Systems Composed of Infinitely Many Particles

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