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Research Abstracts Online
January 2010 - March 2011

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

PI: Bernardo Cockburn, Fellow

Adaptive Discontinuous Galerkin Methods

These researchers are currently developing new adaptive finite element methods for handling a variety of problems of practical interest. This projects focuses on the development of adaptive discontinuous Galerkin methods for second-order elliptic problems appearing in computational fluid dynamics and computational mechanics. These methods have higher order accuracy that standard discontinuous Galerkin method. Moreover, they can handle curved domains by only using polyhedral finite elements. For these reasons, they need new a posteriori error estimates. This project will develop and numerically test those error estimates in steady state-diffusion problema on curved domains.

Group Members

Ke Shi, Graduate Student
Manual E. Solano, Graduate Student
Wujun Zhang, Graduate Student