On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer
type: Item
instance of: scholarly article
title: On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer
zbMATH Open document ID: 0549.73084
DOI: 10.1016/0045-7825(84)90061-6
author: Isaac Fried
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1984-01-01T00:00:00Z
review text: Unconditionally stable (semi-)explicit integration schemes for stiff systems of equations as generated by finite element analysis of elastodynamics and nonstationary heat transfer are shown to suffer from the DuFort-Frankel-Saul'ev syndrome [\textit{R. D. Richtmyer} and \textit{K. W. Morton}, Difference methods for initial value problems (1967; Zbl 0155.475)] whereby coupling between the space and time discretizations may have a ruinous effect on the accuracy of the computations.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3876759
zbMATH Keywords: Unconditionally stable (semi-)explicit integration schemes
zbMATH Keywords: stiff systems of equations
zbMATH Keywords: elastodynamics
zbMATH Keywords: nonstationary heat transfer
zbMATH Keywords: DuFort-Frankel-Saul'ev syndrome
MaRDI profile type: Publication
full work available at URL: 0045-7825(84)90061-6
OpenAlex ID: W2062206982
cites work: Q5536978
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cites work: Q3915947
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description: scientific article; zbMATH DE number 3876759