Finite element solution of nonlinear diffusion problems

DOI10.1016/j.amc.2010.12.105zbMath1211.65124OpenAlexW1993480105MaRDI QIDQ632844

K. M. Abdelgaber, M. S. El-Azab

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.105

zbMATH Keywords

convergenceGalerkin methodfinite element methodlinearizationerror analysisRothe's methoddiffusion problemsdegenerate parabolic partial differential equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An effective linear scheme to solve nonlinear degenerate parabolic differential equations
• An approximation scheme for a nonlinear diffusion Fisher's equation
• Solution of nonlinear transport-diffusion problems by linearization
• A posteriori estimation of the linearization error for strongly monotone nonlinear operators

This page was built for publication: Finite element solution of nonlinear diffusion problems