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Preconditioning nonlocal multi-phase flow
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DOI：10.1016/j.jcp.2020.109715.png)
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摘要
En 中文
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. Crown Copyright (C) 2020 Published by Elsevier Inc. All rights reserved.
Keyword:
Allen-Cahn systems
PDE-constrained optimization
Primal-dual active set method
Saddle point systems
Preconditioning
Krylov subspace solver
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期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
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Color Image Segmentation by the Vector-Valued Allen-Cahn Phase-Field Model: A Multigrid SolutionOAAI
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