Research report 2016 - Max Planck Institute for Mathematics in the Sciences

Grain growth in polycrystals: Algorithms for mean curvature flow

Laux, Tim; Otto, Felix
Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
Grain growth is an intricate process during which the grain structure of a polycrystal coarsens. Efficient numerical schemes shed light on the statistical behavior of the overall structure. The underlying differential equation for the interfaces is mean curvature flow. The mathematical structure of the equation as a steepest descent in an energy landscape gives new insights and allows to develop and to analyze numerical algorithms.

For the full text, see the German version.

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