Numerical solutions of the thermistor problem by spline finite elements

DOI10.1016/j.amc.2003.12.125zbMath1069.78007OpenAlexW2128560536MaRDI QIDQ1763296

Selcuk Kutluay, Alaattin Esen

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.125

zbMATH Keywords

Petrov-Galerkin methodThermistorStep electrical conductivitySubdomain collocation

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Technical applications of optics and electromagnetic theory (78A55)

Cites Work

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• The thermistor problem
• Numerical solutions of the thermistor equations
• Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor
• A heat balance integral model of the thermistor
• Numerical solutions of the thermistor problem with a ramp electrical conductivity.
• A variety of finite difference methods to the thermistor with a new modified electrical conductivity.
• Stationary solutions to the thermistor problem
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• The thermistor: A problem in heat and current flow
• Temperature Surges in Current-Limiting Circuit Devices
• Various methods to the thermistor problem with a bulk electrical conductivity