Mathematics for various disciplines Computational Methods for Geometric PDEs

2006-12-13 10:30 - 2006-12-13 11:30
Graduate School of Mathematical Sciences the University of Tokyo, Room #056
Charles M. Elliott (University of Sussex)
Computational approaches to evolutionary geometric partial differential equations such as anisotropic motion by mean curvature and surface diffusion are reviewed. We consider methods based on graph, parametric , level set and phase field descriptions of the surface. We also discuss the approximation of partial differential equations which hold on the evolving surfaces. Numerical results will be presented along with some approximation results.