Junping Wang, National Science Foundation

Numerical Methods for PDEs: In Occasion of Raytcho Lazarov's 70th Birthday

January 25-26, 2013

Texas A&M University

College Station, Texas

Rudder Tower, Room 701

Weak Galerkin Finite Element Methods for PDEs

In this talk, the speaker will introduce a new finite element technique, called Weak Galerkin (WG) finite element methods, for partial differential equations. The basic principles of WG will be thoroughly explained, and the method shall be applied to the discretization of several PDEs, including the model second order elliptic equations, Stokes, biharmonic, div-curl, and Curl4 problems. It will be seen that the WG method is widely applicable to elliptic-type problems, and the WG-FEM enjoys a great flexibility in mesh shape and generation.