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Research Abstracts Online
January - December 2011

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University of Minnesota Twin Cities
College of Science and Engineering
School of Mathematics

PI: Bernardo Cockburn, Fellow

Discontinuous Galerkin Methods

These researchers are currently developing new adaptive finite element methods for handling a variety of problems of practical interest. Previously, they have developed discontinuous Galerkin methods for second-order elliptic problems appearing in computational fluid dynamics and computational mechanics. A posteriori error estimates and a new technique to handle curved domains were introduced. Now, they are focusing on extending these methods to other type of problems: convection-diffusion, Navier-Stokes, moving meshes methods, and others.

Group Members

Fatih Celiker, Mathematics, Wayne State University, Detroit, Michigan
Vincent Quenneville-Belair, Graduate Student
Sander Rhebergen, Research Associate
Ke Shi, Graduate Student
Manual E. Solano, Graduate Student
Wujun Zhang, Graduate Student