Title: Primal-Dual Weak Galerkin FEMs for PDEs

Keynote Speaker: Chunmei Wang

Abstract:

The speaker will present a recent development of Weak Galerkin (WG), called "Primal-Dual Weak Galerkin (PD-WG)", for problems for which the usual numerical methods are difficult to apply. The essential idea of PD-WG is to interpret the numerical solutions as a constrained minimization of some functionals with constraints that mimic the weak formulation of the PDEs by using weak derivatives. The resulting Euler-Lagrange equation offers a symmetric scheme involving both the primal variable and the dual variable (Lagrange multiplier). PD-WG method is applicable to several challenging problems for which existing methods may have difficulty in applying; these problems include the second order elliptic equations in nondivergence form, Fokker-Planck equation, elliptic Cauchy problems, the convection-diffusion equation and the hyperbolic equation. An abstract framework for PD-WG will be presented and discussed for its potential in other scientific applications.

Speaker Introduction:

Chunmei Wang, Assistant Professor, Department of Mathmatics & Statistics, College of Arts and Sciences, Texas Tech University

Inviter:

Fuzheng Gao, Professor in School of Mathematics

Time:

June 4 （Tuesday）, 10:40-11:40

Location:

Hall 1042， Block B, Zhixin Building, Central Campus

Hosted by: School of Mathematics, Shandong University