Stability of multi-time step partitioned transient analysis for first- order systems of equations
type: Item
instance of: scholarly article
title: Stability of multi-time step partitioned transient analysis for first- order systems of equations
zbMATH Open document ID: 0636.65071
DOI: 10.1016/0045-7825(87)90008-9
author: Patrick Smolinski
author: Wing K. Liu
author: Ted Belytschko
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The authors suggest, test and partly analyze a technique for the time- integration of systems of the form \(Mdu/dt=Ku+s\) that arise from finite- element spatial discretization of parabolic equations. The suggested method is based on the operator splitting \(K=K_ A+K_ B,\quad s=s_ A+s_ B,\) where the subindices A and B refer to two subsets \(S_ A\), \(S_ B\) in which the whole set of elements S is divided. This division should cater for the presence of two subdomains with widely different material properties or element-sizes. After the splitting, the two fractional steps for \(S_ A\) and \(S_ B\) may be carried out with two different time-stepping methods and with different values of \(\Delta\) t.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65N40
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 4037075
zbMATH Keywords: stability
zbMATH Keywords: numerical examples
zbMATH Keywords: time-integration
zbMATH Keywords: finite-element spatial discretization
zbMATH Keywords: operator splitting
zbMATH Keywords: fractional steps
zbMATH Keywords: time-stepping methods
reviewed by: Jesús María Sanz-Serna
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90008-9
OpenAlex ID: W2090599493
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description: scientific article; zbMATH DE number 4037075