Zusammenfassung
We propose and analyze a primal-dual active set method for discretized versions of the local and nonlocal AllenCahn variational inequalities. An existence result for the nonlocal variational inequality is shown in a formulation involving Lagrange multipliers for local and nonlocal constraints. Local convergence of the discrete method is shown by interpreting the approach as a semismooth Newton ...
Zusammenfassung
We propose and analyze a primal-dual active set method for discretized versions of the local and nonlocal AllenCahn variational inequalities. An existence result for the nonlocal variational inequality is shown in a formulation involving Lagrange multipliers for local and nonlocal constraints. Local convergence of the discrete method is shown by interpreting the approach as a semismooth Newton method. Properties of the method are discussed and several numerical simulations demonstrate its efficiency. (c) 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013
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