Numerical approximation of the thermistor problem

TL;DR

This paper presents a finite element Galerkin method to numerically approximate steady-state solutions of the thermistor problem, accounting for temperature-dependent electrical conductivity.

Contribution

It introduces a finite element approach specifically designed for the thermistor problem with variable conductivity, advancing numerical solution techniques.

Findings

Successful implementation of the finite element Galerkin method.

Approximate solutions demonstrate accuracy for the thermistor problem.

Method handles temperature-dependent electrical conductivity effectively.

Abstract

We use a finite element approach based on Galerkin method to obtain approximate steady state solutions of the thermistor problem with temperature dependent electrical conductivity.