APPROXIMATION BY THE FINITE VOLUME METHOD OF AN ELLIPTIC-PARABOLIC EQUATION ARISING IN ENVIRONMENTAL STUDIES

DOI10.1142/S0218202501001446zbMath1173.76359OpenAlexW1971447225MaRDI QIDQ4798922

Raphaèle Herbin, Robert Eymard, Danielle Hilhorst, Thierry Gallouet, Michaël Gutnic

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202501001446

zbMATH Keywords

finite volume schemeKolmogorov's theoremRichards equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (11)

A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems ⋮ Upstream mobility finite volumes for the Richards equation in heterogenous domains ⋮ Analysis of a fractional-step scheme for the \(\mathbf P_1\) radiative diffusion model ⋮ A finite volume method for density driven flows in porous media ⋮ Weakly monotone finite volume scheme for parabolic equations in strongly anisotropic media ⋮ Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy ⋮ ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS ⋮ Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model ⋮ Combined finite volume element method for singularly perturbed reaction-diffusion problems ⋮ Unnamed Item ⋮ On several numerical strategies to solve Richards' equation in heterogeneous media with finite volumes

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• Finite volume approximation of elliptic problems and convergence of an approximate gradient

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