Analytical Approximation for the Generalized Laplace Equation with Step Function Coefficient

DOI10.1137/070683465zbMath1152.35108OpenAlexW1992892735MaRDI QIDQ3532605

A. W. Warrick, C. Larrabee Winter, R. F. Sviercoski

Publication date: 28 October 2008

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

Full work available at URL: https://doi.org/10.1137/070683465

zbMATH Keywords

homogenizationLaplace's equation\(L^p\)-approximationcell-problemgeneralized Voigt-Reiss inequality

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) PDEs with low regular coefficients and/or low regular data (35R05) Theoretical approximation in context of PDEs (35A35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Homogenization of degenerate coupled fluid flows and heat transport through porous media ⋮ Zeroth and first-order homogenized approximations to nonlinear diffusion through block inclusions by an analytical approach ⋮ Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions ⋮ Analytical Effective Coefficient and First-Order Approximation to Linear Darcy’s Law through Block Inclusions ⋮ An analytical coarse grid operator applied to a multiscale multigrid method

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