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Volume 12, Issue 3
Numerical Analysis of Nonstationary Thermistor Problem

Xing-Ye Yue

J. Comp. Math., 12 (1994), pp. 213-223.

Published online: 1994-12

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  • 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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@Article{JCM-12-213, author = {Yue , Xing-Ye}, title = {Numerical Analysis of Nonstationary Thermistor Problem}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9292.html} }
TY - JOUR T1 - Numerical Analysis of Nonstationary Thermistor Problem AU - Yue , Xing-Ye JO - Journal of Computational Mathematics VL - 3 SP - 213 EP - 223 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9292.html KW - AB -

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.

Yue , Xing-Ye. (1994). Numerical Analysis of Nonstationary Thermistor Problem. Journal of Computational Mathematics. 12 (3). 213-223. doi:
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