Finite element solution of the thermistor problem with a ramp electrical conductivity

DOI10.1016/J.AMC.2003.12.059zbMath1122.80013OpenAlexW1985455790MaRDI QIDQ1764741

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.2003.12.059

zbMATH Keywords

thermistor problemGalerkin finite elementramp electrical conductivity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

Cites Work

• Unnamed Item
• The thermistor problem
• 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.
• A B-spline finite element method for the thermistor problem with the 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

This page was built for publication: Finite element solution of the thermistor problem with a ramp electrical conductivity