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Phase field computations for surface diffusion and void electromigration in \({\mathbb{R}^3}\). (English) Zbl 1259.78038

Summary: We consider a finite element approximation of a phase field model for the evolution of voids by surface diffusion in an electrically conducting solid. The phase field equations are given by a degenerate Cahn-Hilliard equation with an external forcing induced by the electric field. We describe the iterative scheme used to solve the resulting nonlinear discrete equations and present some numerical experiments in three space dimensions.

MSC:

78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
65H10 Numerical computation of solutions to systems of equations

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References:

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