The Mathematical Institute, University of Oxford, Eprints Archive

Preconditioning for Allen-Cahn variational inequalities with non-local constraints

Blank, L. and Sarbu, L. and Stoll, M. (2010) Preconditioning for Allen-Cahn variational inequalities with non-local constraints. SIAM journal for scientific computing . (Submitted)

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Abstract

The solution of Allen-Cahn variational inequalities with mass constraints is of interest in many applications. This problem can be solved both in its scalar and vector-valued form as a PDE-constrained optimization problem by means of a primal-dual active set method. At the heart of this method lies the solution of linear systems in saddle point form. In this paper we propose the use of Krylov-subspace solvers and suitable preconditioners for the saddle point systems. Numerical results illustrate the competitiveness of this approach.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:996
Deposited By:Peter Hudston
Deposited On:26 Oct 2010 10:22
Last Modified:09 Feb 2012 15:58

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