Preconditioning nonlocal multi-phase flow

Kay, David and Styles, Vanessa (2021) Preconditioning nonlocal multi-phase flow. Journal of Computational Physics, 424. a109715 1-16. ISSN 0021-9991

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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.

Item Type: Article
Keywords: Allen{Cahn systems, nonlocal constraints, PDE-constrained optimization, primal}
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 09 Jul 2020 07:39
Last Modified: 19 Sep 2021 01:00

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