Journal article
Preconditioning nonlocal multi-phase flow
- Abstract:
- We propose an efficient solver for saddle point problems arising from finite element approximations of nonlocal multi-phase Allen–Cahn variational inequalities. The solver is seen to behave mesh independently and to have only a very mild dependence on the number of phase field variables. In addition we prove convergence, in three GMRES iterations, of the approximation of the two phase problem, regardless of mesh size or interfacial width. Numerical results are presented that illustrate the competitiveness of this approach.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 2.0MB, Terms of use)
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- Publisher copy:
- 10.1016/j.jcp.2020.109715
Authors
- Publisher:
- Elsevier
- Journal:
- Journal of Computational Physics More from this journal
- Volume:
- 424
- Article number:
- 109715
- Publication date:
- 2020-09-18
- Acceptance date:
- 2020-07-08
- DOI:
- ISSN:
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0021-9991
- Language:
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English
- Keywords:
- Pubs id:
-
1122462
- Local pid:
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pubs:1122462
- Deposit date:
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2020-07-29
Terms of use
- Copyright holder:
- Crown Copyright
- Copyright date:
- 2020
- Rights statement:
- Crown Copyright © 2020 Published by Elsevier Inc. All rights reserved.
- Notes:
-
This is the accepted manuscript version of the article. The final version is available from Elsevier at https://doi.org/10.1016/j.jcp.2020.109715
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