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)
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.
|Subjects:||D - G > General|
|Research Groups:||Oxford Centre for Collaborative Applied Mathematics|
|Deposited By:||Peter Hudston|
|Deposited On:||26 Oct 2010 10:22|
|Last Modified:||09 Feb 2012 15:58|
Repository Staff Only: item control page