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

Junping Wang, National Science Foundation
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, \(\text{div}\)-\(\text{curl}\), and \(\text{Curl}^{4}\) 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.