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

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

Research output: Contribution to journalArticle

37 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 languageEnglish
Pages (from-to)83-95
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume63
Issue number1
DOIs
Publication statusPublished - 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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