Approximate computation of the permeability tensor of a periodic porous medium

DOI10.1080/01630569908816916zbMath0945.76081OpenAlexW2046206897MaRDI QIDQ4705842

Claude Carasso, Gelu I. Paşa

Publication date: 12 October 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816916

zbMATH Keywords

homogenization theoryDarcy lawlower boundsStokes equationsincompressible viscous fluidoptimal control problemstwo-scale asymptotic expansionstest functionspermeability tensoroptimal upper boundsinfinite periodic porous medium

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Homogenization applied to problems in fluid mechanics (76M50) Flow control and optimization for incompressible viscous fluids (76D55)

Cites Work

• Non-homogeneous media and vibration theory
• Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds

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