Boundary element analysis of nonlinear transient heat conduction problems

DOI10.1016/0045-7825(87)90066-1zbMath0614.73120OpenAlexW2009839156MaRDI QIDQ1820040

Hidetosi Togoh, Masataka Tanaka, Masashi Kikuta

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90066-1

zbMATH Keywords

Kirchhoff transformationboundary element formulationDirichlet, Neumann, and Robin boundary conditionsfully three-dimensional nonlinear problemsnonlinear transient heat conduction problemspseudo-linear integral equationstemperature- dependent material properties

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical and other methods in solid mechanics (74S99)

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Cites Work

• Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions
• A numerical calculation of nonlinear transient heat conduction in the fuel elements of a nuclear reactor
• Pseudo-updated constrained solution algorithm for nonlinear heat conduction
• A NEW VARIATIONAL PRINCIPLE FOR THE NON-LINEAR UNSTEADY HEAT-CONDUCTION PROBLEM
• Efficient method for solution of nonlinear heat conduction problems
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