Finite element solution of nonlinear diffusion problems

Autor:	K. M. Abdelgaber, M. S. El-Azab
Rok vydání:	2011
Předmět:	Computational Mathematics Partial differential equation Discretization Applied Mathematics Numerical analysis Mathematical analysis Method of fundamental solutions Mixed finite element method Parabolic partial differential equation Finite element method Mathematics Extended finite element method
Zdroj:	Applied Mathematics and Computation. 217:6198-6205
ISSN:	0096-3003
DOI:	10.1016/j.amc.2010.12.105
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ae03f5ebd7bdb1078c0a80f7fd766037 https://doi.org/10.1016/j.amc.2010.12.105 Zobrazit plný text záznamu Full Text from ScienceDirect