Primal-dual active set methods for solving Non-local Allen-Cahn Systems
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Thu, 25/11/2010 14:00 |
Dr. Vanessa Styles (University of Sussex) |
Computational Mathematics and Applications  |
Rutherford Appleton Laboratory, nr Didcot |
| We propose and analyze a primal-dual active set method for local and non-local vector-valued Allen-Cahn variational inequalities. We show existence and uniqueness of a solution for the non-local vector-valued Allen-Cahn variational inequality in a formulation involving Lagrange multipliers for local and non-local constraints. Furthermore, convergence of the algorithm is shown by interpreting the approach as a semi-smooth Newton method and numerical simulations are presented. | |||