A finite volume scheme for an elliptic equation with heterogeneous coefficients. Application to a homogenization problem

DOI10.1016/S0168-9274(01)00040-XzbMath0986.65108OpenAlexW1975042144MaRDI QIDQ5946868

S. Perez, Robert Luce

Publication date: 28 May 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00040-x

zbMATH Keywords

numerical resultsfinite elementfinite volume schemeelliptic boundary value problemprimal-dual mixed variational formulation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Error estimates on a finite volume method for diffusion problems with interface on rectangular grids

Cites Work

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• Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution
• An upscaling method for one-phase flow in heterogeneous reservoirs. A weighted output least squares (WOLS) approach
• A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients
• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• Existence, Uniqueness and Approximation for Generalized Saddle Point Problems

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