Nonconforming Finite Elements for High Order PDE Systems and Relevant Algebraic Solvers

Speaker: Prof. Jinchao Xu Pennsylvania State University

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.

Last modified: Thu Jan 17 15:53:54 EST 2008