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

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

研究成果: Article同行評審

38 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)83-95
頁數13
期刊Computer Methods in Applied Mechanics and Engineering
63
發行號1
DOIs
出版狀態Published - 1987 七月

All Science Journal Classification (ASJC) codes

  • 計算力學
  • 材料力學
  • 機械工業
  • 物理與天文學 (全部)
  • 電腦科學應用

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