Title: A staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits

Keynote Speaker: Eric Chung

Abstract:

In this talk, we present a novel staggered discontinuous Galerkin (SDG) method for the Brinkman problem on general polygonal meshes. The proposed method is robust in the Stokes and Darcy limits, in addition, hanging nodes can be automatically incorporated in the construction of the method, which are desirable features in practical applications. There are three unknowns involved in our formulation, namely velocity gradient, velocity and pressure. Unlike the original staggered DG formulation proposed for the Stokes equations, we relax the tangential continuity of velocity and enforce different staggered continuity properties for the three unknowns, which is tailored to yield an optimal L2 error estimates for velocity gradient, velocity and pressure independent of the viscosity coefficient. Moreover, by choosing suitable projection, superconvergence can be proved for L2 error of velocity. Finally, several numerical results illustrating the good performances of the proposed method and confirming the theoretical findings are presented. This is a joint work with Lina Zhao and Ming Fai Lam.

Introduction to the Speaker:

Education

Ph. D. (2005), Mathematics, University of California, Los Angeles.

M.Phil.(2000) and B.Sc. (1998), Mathematics, The Chinese University of Hong Kong.

Professional Experience

2017–present, Professor, Department of Mathematics, The Chinese University of Hong Kong.

2015–present, Adjunct Professor, Department of Mathematics, Texas A&M University.

2014-July 2017, Associate Professor, Department of Mathematics, The Chinese University of Hong Kong.

2008-July 2014, Assistant Professor, Department of Mathematics, The Chinese University of Hong Kong.

Award

The Hong Kong Mathematical Society Young Scholar Award 2017

Inviter:

Rui Hongxing Professor in the School of Mathematics

Time:

14:00 on September 25 (Friday)

Location:

Tencent Meeting: 678 132 566

Sponsored by: School of Mathematics, Shandong University