Stability of multi-time step partitioned transient analysis for first-order systems of equations

Patrick Smolinski; Ted Belytschko; Kam Liu Wing Kam Liu

doi:10.1016/0045-7825(87)90008-9

Stability of multi-time step partitioned transient analysis for first-order systems of equations

Patrick Smolinski^*, Ted Belytschko, Kam Liu Wing Kam Liu

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A mixed time integration procedure which allows different time steps and different integrators in different subdomains of the mesh is presented. For the case of first-order finite element systems, a stability analysis is given in terms of an energy bound. The accuracy and stability are also examined by three numerical examples.

Original language	English (US)
Pages (from-to)	115-125
Number of pages	11
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	65
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(87)90008-9
State	Published - Nov 1987

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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title = "Stability of multi-time step partitioned transient analysis for first-order systems of equations",

abstract = "A mixed time integration procedure which allows different time steps and different integrators in different subdomains of the mesh is presented. For the case of first-order finite element systems, a stability analysis is given in terms of an energy bound. The accuracy and stability are also examined by three numerical examples.",

author = "Patrick Smolinski and Ted Belytschko and {Wing Kam Liu}, {Kam Liu}",

year = "1987",

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AU - Smolinski, Patrick

AU - Belytschko, Ted

AU - Wing Kam Liu, Kam Liu

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Y1 - 1987/11

N2 - A mixed time integration procedure which allows different time steps and different integrators in different subdomains of the mesh is presented. For the case of first-order finite element systems, a stability analysis is given in terms of an energy bound. The accuracy and stability are also examined by three numerical examples.

AB - A mixed time integration procedure which allows different time steps and different integrators in different subdomains of the mesh is presented. For the case of first-order finite element systems, a stability analysis is given in terms of an energy bound. The accuracy and stability are also examined by three numerical examples.

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JO - Computer Methods in Applied Mechanics and Engineering

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