A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation
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solvercahn-hilliardelementequationfiniteinterfacialmixedparameter
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We develop a robust solver for a mixed finite element convex splitting scheme for the Cahn-Hilliard equation. The key ingredient of the solver is a preconditioned minimal residual algorithm (with a multigrid preconditioner) whose performance is independent of the spacial mesh size and the time step size for a given interfacial width parameter. The dependence on the interfacial width parameter is also mild.
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