Galerkin finite element method for a class of porous medium equations

DOI10.1016/j.nonrwa.2003.07.001zbMath1050.76030OpenAlexW2100345613MaRDI QIDQ1432879

Koffi B. Fadimba, Robert C. Sharpley

Publication date: 22 June 2004

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2003.07.001

zbMATH Keywords

error estimatesregularizationsaturation equation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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)

Related Items

Continuous-time finite element analysis of multiphase flow in groundwater hydrology, Numerical analysis for generalized Forchheimer flows of slightly compressible fluids, Existence of solutions for some doubly degenerate parabolic equations with natural growth terms, 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)), A linear backward Euler scheme for the saturation equation: regularity results and consistency, A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids, A numerical approach to study the properties of solutions of the diffusive wave approximation of the shallow water equations, A linearization of a backward Euler scheme for a class of degenerate nonlinear advection-diffusion equations, Galerkin finite element method for generalized Forchheimer equation of slightly compressible fluids in porous media

Cites Work

• Numerical Methods for Flows Through Porous Media. I
• Approximation of Degenerate Parabolic Problems Using Numerical Integration
• Polynomial Approximation of Functions in Sobolev Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item