A linear backward Euler scheme for the saturation equation: regularity results and consistency

DOI10.1016/j.cam.2009.12.024zbMath1273.65141OpenAlexW2059319780MaRDI QIDQ964949

Koffi B. Fadimba

Publication date: 21 April 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.024

zbMATH Keywords

porous mediumlinearizationbackward Euler schemeregularity estimatesdegenerate equationsaturation equationnonlinear scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) 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 (2)

A linear backward Euler scheme for a class of degenerate advection–diffusion equations: A mathematical analysis of the convergence in L^∞(0, T₀;L²(Ω)) and in L²(0, T₀;H¹(Ω)) ⋮ Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluids in porous media

Cites Work

• A linearization of a backward Euler scheme for a class of degenerate nonlinear advection-diffusion equations
• Numerical methods for flows through porous media. II
• Galerkin finite element method for a class of porous medium equations
• Mixed finite elements for the Richards' equation: linearization procedure
• Numerical Methods for Flows Through Porous Media. I
• An Optimal-Order Error Estimate for an ELLAM Scheme for Two-Dimensional Linear Advection-Diffusion Equations
• An ELLAM Scheme for Advection-Diffusion Equations in Two Dimensions
• Equivalent Norms for Sobolev Spaces
• Degenerate two-phase incompressible flow. III: Sharp error estimates.
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