Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations

DOI10.1137/060657728zbMath1176.65105OpenAlexW2024612023MaRDI QIDQ3642885

Carsten Ebmeyer, Wen-bin Liu

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1137/060657728

zbMATH Keywords

convergenceerror estimatesfinite elementsfree boundary problemporous mediaa priori error estimatesfast diffusionslow diffusionbackward Euler time discretizationfully discrete Galerkin scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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