@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} }