Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems

Chen Han-Taw; Chen Tzer-Ming; Chen Cha'o-Kuang

doi:10.1016/0045-7825(87)90124-1

Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems

Chen Han-Taw, Chen Tzer-Ming, Chen Cha'o-Kuang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The powerful method of analysis, involving the combined use of the Laplace transform and the finite element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The associated temperature is inverted by the method of Honig and Hirdes. The present results are compared in tables with the corresponding exact solutions. It is found that the present method is stable and convergent to the exact solution. There exists no time step, thus the present method is a useful tool in solving long-time problems.

Original language	English
Pages (from-to)	83-95
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	63
Issue number	1
DOIs	https://doi.org/10.1016/0045-7825(87)90124-1
Publication status	Published - 1987 Jul

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/0045-7825(87)90124-1

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abstract = "The powerful method of analysis, involving the combined use of the Laplace transform and the finite element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The associated temperature is inverted by the method of Honig and Hirdes. The present results are compared in tables with the corresponding exact solutions. It is found that the present method is stable and convergent to the exact solution. There exists no time step, thus the present method is a useful tool in solving long-time problems.",

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N2 - The powerful method of analysis, involving the combined use of the Laplace transform and the finite element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The associated temperature is inverted by the method of Honig and Hirdes. The present results are compared in tables with the corresponding exact solutions. It is found that the present method is stable and convergent to the exact solution. There exists no time step, thus the present method is a useful tool in solving long-time problems.

AB - The powerful method of analysis, involving the combined use of the Laplace transform and the finite element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The associated temperature is inverted by the method of Honig and Hirdes. The present results are compared in tables with the corresponding exact solutions. It is found that the present method is stable and convergent to the exact solution. There exists no time step, thus the present method is a useful tool in solving long-time problems.

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Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems

Abstract

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