Analytical effective coefficient and a first-order approximation for linear flow through block permeability inclusions

DOI10.1016/j.camwa.2007.07.016zbMath1138.76440OpenAlexW2150535608MaRDI QIDQ2483083

R. F. Sviercoski, Bryan J. Travis, James M. Hyman

Publication date: 5 May 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.07.016

zbMATH Keywords

homogenizationgeneralized Voigt-Reiss' inequalityupscaled Darcy's law

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Homogenization applied to problems in fluid mechanics (76M50)

Related Items

Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production ⋮ Zeroth and first-order homogenized approximations to nonlinear diffusion through block inclusions by an analytical approach ⋮ 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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