Homogenization of the elliptic Dirichlet problem: error estimates in the \((L_2\to H^1)\)-norm

DOI10.1007/s10688-012-0022-4zbMath1273.47078OpenAlexW2027902319MaRDI QIDQ366071

M. A. Pakhnin, Tatiana Suslina

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-012-0022-4

zbMATH Keywords

correctoreffective operatoroperator error estimateshomogenization of periodic differential operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Linear operator approximation theory (47A58) Linear operators on function spaces (general) (47B38) Perturbations in context of PDEs (35B20)

Related Items (6)

Homogenization of Stratified Elastic Composites with High Contrast ⋮ HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES ⋮ Convergence rates of Neumann problems for Stokes systems ⋮ Homogenization of the Dirichlet problem for higher-order elliptic equations with periodic coefficients ⋮ Homogenization of elliptic operators with periodic coefficients in dependence of the spectral parameter ⋮ Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain

Cites Work

• Interior error estimate for periodic homogenization
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