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Robust multigrid methods for nearly incompressible elasticity using macro elements

Abstract:

We present a mesh-independent and parameter-robust multigrid solver for the Scott–Vogelius discretisation of the nearly incompressible linear elasticity equations on meshes with a macro element structure. The discretisation achieves exact representation of the limiting divergence constraint at moderate polynomial degree. Both the relaxation and multigrid transfer operators exploit the macro structure for robustness and efficiency. For the relaxation we use the existence of local Fortin operat...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1093/imanum/drab083

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Christ Church
Role:
Author
ORCID:
0000-0002-1241-7060
Publisher:
Oxford University Press Publisher's website
Journal:
IMA Journal of Numerical Analysis Journal website
Article number:
drab083
Publication date:
2022-01-06
Acceptance date:
2021-10-07
DOI:
EISSN:
1464-3642
ISSN:
0272-4979
Language:
English
Keywords:
Pubs id:
1199334
Local pid:
pubs:1199334
Deposit date:
2021-10-07

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