Finite Difference Approximation of Homogenization Problems for Elliptic Equations

DOI10.1137/040606314zbMath1090.65126OpenAlexW2121212448MaRDI QIDQ5695920

Rafael Orive-Illera, Enrique Zuazua

Publication date: 6 October 2005

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

Full work available at URL: https://semanticscholar.org/paper/7977dd59afec9ded800175f9ab02831923a47f78

zbMATH Keywords

homogenizationfinite differencesBloch wavesmultiscalerapidly oscillating coefficients

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Theoretical approximation in context of PDEs (35A35) Finite difference methods for boundary value problems involving PDEs (65N06) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics ⋮ Asymptotic numerical analysis of the diffusion-discrete absorption equation ⋮ Partial asymptotic decomposition of the domain for the diffusion-discrete absorption equation ⋮ Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems ⋮ Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs ⋮ Homogenization of a one-dimensional diffusion - discrete absorption equation with feedback

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