Algorithms for Computing Grain Boundary Motion in Polycrystalline Materials
Wednesday, May 21, 2014 - 10:20am - 11:00am
We study a class of algorithms known as threshold dynamics that was originally proposed by Merriman, Bence, and Osher for generating the motion by mean curvature of a network of surfaces. Our new, variational formulation of this algorithm allows us to extend it to the setting in which each interface in the network can have a different surface tension. Preliminary results on the anisotropic case, where the interfacial energy can depend on the direction of the normal, will also be discussed. Based on joint works with Matt Elsey and Felix Otto.