A modified hybrid Laplace transform/finite element method for transient heat conduction problems
type: Item
instance of: scholarly article
title: A modified hybrid Laplace transform/finite element method for transient heat conduction problems
zbMATH Open document ID: 0764.73080
DOI: 10.1016/0045-7825(92)90178-M
author: Tzer-Ming Chen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1993-04-01T00:00:00Z
review text: A modified method involving the combined use of Laplace transform and finite element methods is applicable to the problem of time-dependent linear and nonlinear heat conduction problems. The present method removes the time derivatives from the governing differential equation using the Laplace transform and then solves the associated equation with the finite element method. A previously reported hybrid Laplace transform/finite element method [\textit{H. Chen, T. Chen} and \textit{C. Chen}, Comput. Methods Appl. Mech. Eng. 63, 83-95 (1987; Zbl 0613.73120)] has been confined to one nodal solution at a time. When applied to many nodes it takes an excessive amount of computer time. By using a similarity transform method on the matrix of the complex number coefficients, this restriction is removed and the reported modified method provides a more useful tool for the solution of linear and nonlinear transient problems.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 147994
zbMATH Keywords: time derivatives
zbMATH Keywords: nodal solution
zbMATH Keywords: similarity transform method
zbMATH Keywords: perturbation method
MaRDI profile type: Publication
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full work available at URL: 0045-7825(92)90178-m
OpenAlex ID: W2095417173
description: scientific article; zbMATH DE number 147994