Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems
type: Item
instance of: scholarly article
title: Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems
zbMATH Open document ID: 0607.73120
DOI: 10.1016/0045-7825(87)90124-1
author: Cha'o-Kuang Chen
author: Han-Taw Chen
author: Tzer-Ming Chen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: 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 exist no time step, thus the present method is a useful tool in solving long-time problems.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3982724
zbMATH Keywords: time-dependent heat flow systems
zbMATH Keywords: removes the time terms using the Laplace transform
zbMATH Keywords: finite element method
zbMATH Keywords: stable
zbMATH Keywords: convergent
zbMATH Keywords: Honig- Hirdes inversion method
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90124-1
OpenAlex ID: W1997957318
cites work: Q5591849
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description: scientific article; zbMATH DE number 3982724