Session III.4 - Foundations of Numerical PDEs
Wednesday, June 21, 15:00 ~ 15:30
Some recent advances in parametric finite element approximation of surface evolution under geometric flows
Buyang Li
The Hong Kong Polytechnic University, Hong Kong - This email address is being protected from spambots. You need JavaScript enabled to view it.
We report some recent advances in the numerical analysis of parametric finite element approximation to surface evolution under geometric flows, and then introduce a new approach for proving convergence of parametric finite element approximation to surface evolution, which allows the algorithm to include certain artificial tangential motions to improve the mesh quality of the triangulation on the approximate surface.