Speaker: Prof. Jinchao Xu Pennsylvania State University
Abstract:
In this talk, I will first discuss a few issues on finite element
methods for high order partial differential equations including
application of conforming elements (such as C^1 elements for fourth
order problems), possible danger in reducing a high order PDE into a
system of lower order PDEs, and the design of minimal order
nonconforming elements for 2m-th order PDEs in R^n (for any n >= m
). I will also talk about a few recent results on
optimal and practical solvers for Maxwell equations and Navier-Stokes
equations.