Allan-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques
نویسندگان
چکیده
Parabolic variational inequalities of Allen-Cahn and CahnHilliard type are solved using methods involving constrained optimization. Time discrete variants are formulated with the help of Lagrange multipliers for local and non-local equality and inequality constraints. Fully discrete problems resulting from finite element discretizations in space are solved with the help of a primal-dual active set approach. We show several numerical computations also involving systems of parabolic variational inequalities. Mathematics Subject Classification (2010). 35K55, 35S85, 65K10, 90C33, 90C53, 49N90, 65M60.
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