Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent

DOI10.1137/120897006zbMath1355.76036OpenAlexW2031097253MaRDI QIDQ5397622

Rui M. P. Almeida, José C. M. Duque, Stanislav N. Antontsev

Publication date: 24 February 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120897006

zbMATH Keywords

finite element methodporous media equationvariable exponent

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (12)

Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments ⋮ On a partial boundary value condition of a porous medium equation with exponent variable ⋮ Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients ⋮ Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation ⋮ Application of the moving mesh method to the porous medium equation with variable exponent ⋮ Discrete solutions for the porous medium equation with absorption and variable exponents ⋮ The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations ⋮ A study on moving mesh finite element solution of the porous medium equation ⋮ Finite element approximation of an incompressible chemically reacting non-Newtonian fluid ⋮ Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory ⋮ Bound preserving and energy dissipative schemes for porous medium equation

Uses Software

• Matlab

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