Universität Regensburg Mathematik Finite Element Approximation of Coupled Surface and Grain Boundary Motion with Applications to Thermal Grooving and Sintering

We study the coupled surface and grain boundary motion in biand tricrystals in three space dimensions, building on previous work by the authors on the simplified two dimensional case. The motion of the interfaces, which in this paper are presented by two-dimensional hypersurfaces, is described by two types of normal velocities: motion by mean curvature and… (More)

On sharp interface limits of Allen–Cahn/Cahn–Hilliard variational inequalities

J. W. Barrett, H. Garcke, R. Nürnberg

Discrete Contin. Dyn. Syst. Ser. S ,

2008

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13 Excerpts

Finite elements for the Beltrami operator on arbitrary surfaces. In Partial Differential Equations and Calculus of Variations , volume 1357 of Lecture Notes in Math., pages 142–155

G. Dziuk

Numer. Math.,

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4 Excerpts

boundary motion in bicrystals

J. 227–235. Kanel, A. Novick-Cohen, A. Vilenkin

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Modelling microstructural evolution of porous polycrystalline materials and a numerical study of anisotropic sintering

H. N. Ch’ng, J. Pan

J. Comput. Phys.,

2005

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A finite element method for simulating interface motion — I. Migration of phase and grain boundaries