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3.23.16 Shi

Topic:  73rd NIA CFD Seminar: Superconvergent HDG Methods on General Polyhedral/Polygonal Meshes

Date: Wednesday, March 23, 2016

Time: 11:00am-noon (EST)

Room: NIA, Rm 137

Speaker: Ke Shi

Webcast link: http://www.hiroakinishikawa.com/niacfds/index.html

Abstract: The hybridizable DG methods (HDG) was first introduced by Cockburn et al. in 2009. Since then it has been extensively developed by many colleagues in this area. It has gained lots of attention due to its unique features comparing with conventional methods (CG, DG, mixed methods etc). Roughly speaking, HDG methods . do share with mixed methods their superior convergence properties and can be implemented as efficiently as the hybridized mixed methods while retaining the advantages typical of the DG methods. In this talk, we will discuss a new class of HDG methods for many linear and nonlinear problems. A main feature of this approach is that the method provides optimal approximations for all unknowns on general polyhedral/polygonal meshes.

Bio: Dr. Shi got his PhD at the University of Minnesota supervised by Bernardo Cockburn, in 2012. He spent three years at the Texas A&M University as a visiting assistant professor. In 2016, he joined the department of Mathematics and Statistics of the Old Dominion University. His research covers a wide range of interests in numerical analysis and scientific computing, with a focus on hybridizable DG methods, multiscale finite element methods for flow problems in heterogeneous media.

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