Coarse mesh evolution strategies in the Galerkin multigrid method with adaptive remeshing for geometrically non-linear problems

This paper addresses the strategies of evolving the coarse mesh configurations in the context of the Galerkin multi‐grid (GMG) method when dealing with problems involving large deformations. A new coarse mesh evolution scheme, which continuously and in a simple manner moves the coarse mesh nodal poi...

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Vydáno v:International journal for numerical methods in engineering Ročník 49; číslo 4; s. 547 - 571
Hlavní autoři: Feng, Y. T., Perić, D.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 10.10.2000
Témata:
adaptive strategy
coarse mesh evolution
elasto-plastic problem
Galerkin strategy
geometrically non-linear
multi-grid method
ISSN:0029-5981, 1097-0207
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Shrnutí:This paper addresses the strategies of evolving the coarse mesh configurations in the context of the Galerkin multi‐grid (GMG) method when dealing with problems involving large deformations. A new coarse mesh evolution scheme, which continuously and in a simple manner moves the coarse mesh nodal points along with the deformation of the fine mesh, is proposed and its two implementation versions aiming at further improving the efficiency of the scheme are also developed. In addition, the practical aspects of integrating the GMG with adaptive remeshing techniques are discussed. Finally, several large strain elasto‐plastic problems are presented to verify the performances of the proposed schemes and the behaviour of the combined GMG/mesh adaptivity is also illustrated. Numerical results show that up to 40 per cent reduction in the number of MG iterations has been achieved by the new coarse mesh evolution scheme. Copyright © 2000 John Wiley & Sons, Ltd.
Bibliografie:EPSRC - No. GR/K88965
ArticleID:NME950
istex:C41C8916973920B2911B5F31E7CB9FA0E4F049F9
ark:/67375/WNG-45NKL7GC-G
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/1097-0207(20001010)49:4<547::AID-NME950>3.0.CO;2-R