Standard staggered and staggered Newton schemes in thermo-hydro-mechanical problems

B. A. Schrefler; L. Simoni; E. Turska

doi:10.1016/S0045-7825(96)01170-X

Standard staggered and staggered Newton schemes in thermo-hydro-mechanical problems

B. A. Schrefler, L. Simoni, E. Turska

Houston Methodist

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

37 Scopus citations

Abstract

The aim of the paper is to compare the rates of iteration convergence of two staggered numerical schemes: one using successive substitutions and the other the Newton method. In the case of very weakly coupled problems the Newton method is one order faster, but there are specific cases when it is slower than the standard staggered algorithm. In both cases a convergence condition must be verified. The behaviour of the investigated staggered procedures in case of thermo-hydro-mechanical problems are shown on examples.

Original language	English (US)
Pages (from-to)	93-109
Number of pages	17
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	144
Issue number	1-2
DOIs	https://doi.org/10.1016/S0045-7825(96)01170-X
State	Published - May 15 1997

ASJC Scopus subject areas

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

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10.1016/S0045-7825(96)01170-X

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AB - The aim of the paper is to compare the rates of iteration convergence of two staggered numerical schemes: one using successive substitutions and the other the Newton method. In the case of very weakly coupled problems the Newton method is one order faster, but there are specific cases when it is slower than the standard staggered algorithm. In both cases a convergence condition must be verified. The behaviour of the investigated staggered procedures in case of thermo-hydro-mechanical problems are shown on examples.

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Standard staggered and staggered Newton schemes in thermo-hydro-mechanical problems

Abstract

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