Journal article
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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Authors
Funding
+ Engineering and Physical Sciences Research Council
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Grant:
EP/R029423/1
MA/4177651
Bibliographic Details
- Publisher:
- Oxford University Press Publisher's website
- Journal:
- IMA Journal of Numerical Analysis Journal website
- Volume:
- 42
- Issue:
- 4
- Pages:
- 3306-3329
- Publication date:
- 2022-01-06
- Acceptance date:
- 2021-10-07
- DOI:
- EISSN:
-
1464-3642
- ISSN:
-
0272-4979
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
1199334
- Local pid:
- pubs:1199334
- Deposit date:
- 2021-10-07
Terms of use
- Copyright holder:
- Farrell et al.
- Copyright date:
- 2022
- Rights statement:
- © The Author(s) 2022. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
- Notes:
-
This is the accepted manuscript version of the article. The final version is available from Oxford University Press at https://doi.org/10.1093/imanum/drab083
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