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Transient two‐dimensional heat conduction problems solved by the finite element method
Author(s) -
Bruch John C.,
Zyvoloski George
Publication year - 1974
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620080304
Subject(s) - finite element method , transient (computer programming) , weighting , method of mean weighted residuals , thermal conduction , mathematics , mathematical analysis , mixed finite element method , function (biology) , residual , constant (computer programming) , domain (mathematical analysis) , extended finite element method , algorithm , computer science , physics , thermodynamics , galerkin method , evolutionary biology , operating system , biology , acoustics , programming language
A finite element weighted residual process has been used to solve transient linear and non‐linear two‐dimensional heat conduction problems. Rectangular prisms in a space‐time domain were used as the finite elements. The weighting function was equal to the shape function defining the dependent variable approximation. The results are compared in tables with analytical, as well as other numerical data. The finite element method compared favourably with these results. It was found to be stable, convergent to the exact solution, easily programmed, and computationally fast. Finally, the method does not require constant parameters over the entire solution domain.