Error propagation of staggered solution procedures for transient problems

E. Turska; K. Wisniewski; B. A. Schrefler

doi:10.1016/0045-7825(94)90168-6

Error propagation of staggered solution procedures for transient problems

E. Turska, K. Wisniewski, B. A. Schrefler

Houston Methodist

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

38 Scopus citations

Abstract

Closed formulas for the error of staggered and simultaneous procedures are derived and compared. Conditions of global convergence are determined. It is shown that in some cases a complicated condition for stability of the staggered scheme can be replaced by a simpler one: the simultaneous stability condition for one iteration step. A counterexample for global convergence of the staggered method with a constant number of iterations, is presented.

Original language	English (US)
Pages (from-to)	177-188
Number of pages	12
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	114
Issue number	1-2
DOIs	https://doi.org/10.1016/0045-7825(94)90168-6
State	Published - Jan 1 1994

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/0045-7825(94)90168-6

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title = "Error propagation of staggered solution procedures for transient problems",

abstract = "Closed formulas for the error of staggered and simultaneous procedures are derived and compared. Conditions of global convergence are determined. It is shown that in some cases a complicated condition for stability of the staggered scheme can be replaced by a simpler one: the simultaneous stability condition for one iteration step. A counterexample for global convergence of the staggered method with a constant number of iterations, is presented.",

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AU - Wisniewski, K.

AU - Schrefler, B. A.

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Y1 - 1994/1/1

N2 - Closed formulas for the error of staggered and simultaneous procedures are derived and compared. Conditions of global convergence are determined. It is shown that in some cases a complicated condition for stability of the staggered scheme can be replaced by a simpler one: the simultaneous stability condition for one iteration step. A counterexample for global convergence of the staggered method with a constant number of iterations, is presented.

AB - Closed formulas for the error of staggered and simultaneous procedures are derived and compared. Conditions of global convergence are determined. It is shown that in some cases a complicated condition for stability of the staggered scheme can be replaced by a simpler one: the simultaneous stability condition for one iteration step. A counterexample for global convergence of the staggered method with a constant number of iterations, is presented.

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Error propagation of staggered solution procedures for transient problems

Abstract

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