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Finite element solution of nonlinear diffusion problems
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DOI：10.1016/j.amc.2010.12.105.png)
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Abstract
En 中文
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.
Keywords:
Rothe's method
Finite element method
Galerkin method
Error analysis
Degenerate parabolic partial differential equation
Diffusion problems
Linearization
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W
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