Year: 1994
Author: Xing-Ye Yue
Journal of Computational Mathematics, Vol. 12 (1994), Iss. 3 : pp. 213–223
Abstract
The thermistor problem is coupled system of nonlinear PDEs which consists of the heat equation with the Joule heating as a source, and the current conservation equation with temperature dependent electrical conductivity. In this paper we make a numerical analysis of the nonsteady thermistor problem. $L^∞(Ω), W^{1,∞}(Ω)$ stability and error bounds for a piecewise linear finite element approximation are given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1994-JCM-9292
Journal of Computational Mathematics, Vol. 12 (1994), Iss. 3 : pp. 213–223
Published online: 1994-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11