Finite element solution of nonlinear diffusion problems

M. S. El‐Azab

doi:10.1016/j.amc.2010.12.105

Finite element solution of nonlinear diffusion problems

2011-03-01

1

PRE

AI

M

M. S. El‐Azab

K

Khaled M. Abdelgaber *

DOI：10.1016/j.amc.2010.12.105

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In this paper we describe the Rothe-finite element numerical scheme to find an approximate solution of a nonlinear diffusion problem modeled as a parabolic partial differential equation of even order. This scheme is based on the Rothe's approximation in time and on the finite element method (FEM) approximation in the spatial discretization. A proof of convergence of the approximate solution is given and error estimates are shown. (C) 2011 Elsevier Inc. All rights reserved.

Keyword:

Rothe's method

Finite element method

Galerkin method

Error analysis

Degenerate parabolic partial differential equation

Diffusion problems

Linearization

Finite element solution of nonlinear diffusion problems

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