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The Cahn-Hilliard variational inequality is a non-standard parabolic variational inequality of fourth order for which straightforward numerical approaches cannot be applied. We propose a primal-dual active set method which can be interpreted as a semi-smooth Newton method as solution technique for the discretized Cahn-Hilliard variational inequality. A (semi-)implicit Euler discretization is used in time and a piecewise linear finite element discretization of splitting type is used in space leading...
The Cahn-Hilliard variational inequality is a non-standard
parabolic variational inequality of fourth order for which
straightforward numerical
approaches cannot be applied. We propose a primal-dual active set
method which can be interpreted as a semi-smooth Newton method as
solution technique for the discretized Cahn-Hilliard variational
inequality. A (semi-)implicit Euler discretization is used in time
and a piecewise linear finite element discretization of splitting
type is used in space...
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