Finite element approaches to the PTC thermistor problem

DOI10.1016/J.AMC.2004.01.024zbMath1116.78022OpenAlexW2069457620MaRDI QIDQ1774926

Alaattin Esen, Selcuk Kutluay

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.01.024

zbMATH Keywords

Galerkin approximationsubdomain collocation\(B\)-spline functionramp electrical conductivityPTC thermistor

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spline approximation (41A15) Initial value problems for second-order parabolic equations (35K15)

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.
• A B-spline finite element method for the thermistor problem with the modified electrical conductivity
• Stationary solutions to the thermistor problem
• A heat balance integral solution of the thermistor problem with a modified electrical conductivity
• 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

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