Compact WENO Limiters for Discontinuous Galerkin Methods

Speaker:    Xinghui Zhong, Zhejiang University

Time:         09:00-10:00 , Mar.11

Location:   SIST 1A 200

Host:         Qifeng Liao

Abstract:

Discontinuous Galerkin (DG) method is a class of finite element methods that has gained popularity in recent years due to its flexibility for arbitrarily unstructured meshes, with a compact stencil, and with the ability to easily accommodate arbitrary h-p adaptivity. However, some challenges still remain in specific application problems. In this talk, we design compact limiters using weighted essentially non-oscillatory (WENO) methodology for DG methods solving hyperbolic conservation laws, with the goal of obtaining a robust and high order limiting procedure to simultaneously achieve uniform high order accuracy and sharp, non-oscillatory shock transitions. The main advantage of these compact limiters is their simplicity in implementation, especially on multi-dimensional unstructured meshes.

Bio:

B.S. in Mathematics, University of Science and Technology of China, 2007.
 Ph.D. in Applied Mathematics, Brown University, 2012.
 Postdoctoral Fellow, Department of Mathematics, Michigan State University, Lansing, MI, USA, 2012-2015.
 Postdoctoral Fellow, Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA, 2015-2016.
 Special-Termed Professor, School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, China, 2016-present.
 Research Interest: 

Numerical analysis, scientific computing, uncertainty quantification
 Related work:
 Design and analysis of discontinuous Galerkin finite element methods.
 Deterministic numerical simulations of kinetic transport, with applications in plasma physics.
 Uncertainty quantification and stochastic computations.