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 - <p style="text-align: justify;">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.</p>