A B-spline finite element method for the thermistor problem with the modified electrical conductivity

DOI10.1016/j.amc.2003.08.014zbMath1108.78018OpenAlexW2131289692MaRDI QIDQ1888525

Alaattin Esen, Selcuk Kutluay

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.014

zbMATH Keywords

Galerkin finite elementThermistor problemModified electrical conductivityCubic B-spline functions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient ⋮ Finite element solution of the thermistor problem with a ramp electrical conductivity ⋮ Finite element approaches to the PTC thermistor problem ⋮ A B-spline finite element method for solving a class of nonlinear parabolic equations modeling epitaxial thin-film growth with variable coefficient ⋮ Numerical analysis of the quasistatic thermoviscoelastic thermistor problem ⋮ High order spline finite element method for the fourth-order parabolic equations

Cites Work

• Unnamed Item
• 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
• Temperature Surges in Current-Limiting Circuit Devices
• Various methods to the thermistor problem with a bulk electrical conductivity

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