The Laplace-Beltrami Operator and Geometric Flows
主 题: The Laplace-Beltrami Operator and Geometric Flows
报告人: Prof.Ricardo Nochetto (University of Maryland at College Park)
时 间: 2009-06-17 上午10:00 - 11:00
地 点: 资源大厦1218
arbitrary polynomial degree, and the use of refinement/coarsening techniques that lead to adaptivity. We first discuss a posteriori error analysis and a conditional contraction property of the ensuing AFEM; this is joint with K. Mekchay and P. Morin.We next present applications such as surface diffusion and optimal shape control (joint with P. Morin and M. Verani) as well as biomembrane modeling (joint with A. Bonito and M.S. Pauletti). Several simulations exhibit large deformations and lead to pinching and topological changes in finite time.We finally discuss the geometrically consistent refinement of polyhedral surfaces with incomplete information about the underlying geometry. This is critical for large domain deformations and a new paradigm in adaptivity. This is joint with A. Bonito and M.S. Pauletti.