Special Session 58: Recent Advances in Numerical Methods for Partial Differential Equations

Weak Galerkin Finite Element Scheme and Its Applications

Ran Zhang
Jilin University
Peoples Rep of China
Co-Author(s):    
Abstract:
The weak Galerkin (WG) finite element method is a newly developed and efficient numerical technique for solving partial differential equations (PDEs). It was first introduced and analyzed for second order elliptic equations and further applied to several other model equations, such as the Brinkman equations, the eigenvalue problem of PDEs to demonstrate its power and efficiency as an emerging new numerical method. This talk introduces some progress on the WG scheme, which includes the applications on Brinkman problems, etc.