A Projection Method Applied to Diffusion in a Periodic Structure

DOI10.1137/0142091zbMath0519.35001OpenAlexW2016794869MaRDI QIDQ3669808

Michael S. Vogelius, George S. Papanicolaou

Publication date: 1982

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fba3a4eae8685891294e418a512c5e6e457fa172

zbMATH Keywords

diffusionasymptotic expansionvariational principleprojection methodboundary layershomogeneization methodperiodic structuresmooth domaindomains with corner

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20) Linear higher-order PDEs (35G05)

Related Items (6)

L²-GLOBAL TO LOCAL PROJECTION: AN APPROACH TO MULTISCALE ANALYSIS ⋮ Eulerian kinematics of flow through spatially periodic models of porous media ⋮ THE PARTIAL HOMOGENIZATION: CONTINUOUS AND SEMI-DISCRETIZED VERSIONS ⋮ First-order corrections to the homogenised eigenvalues of a periodic composite medium. A convergence proof ⋮ On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems ⋮ A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method

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