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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Peter Monk
University of Delaware
Title: Analysis of Hybridizable Discontinuous Galerkin Methods Applied to the Wave Equation

Abstract: Hybridizable Discontinuous Galerkin (HDG) methods allow allow the discrete problem to be reduced to a linear system that only involves unknowns on faces in the mesh. This allows hyrbridizable methods to be implemented more efficiently than other discontinuous Galerkin methods. In addition the HDG scheme of Cockburn, Dong and Guzman allows super-convergent postprocessing. I shall discuss the analysis of this method applied to two problems: the time harmonic Helmholtz equation and the time-dependent wave equation. In the latter case we use a continuous time Galerkin method to discretize in time. In both cases optimal error estimates will be proved, and numerical results illustrating the convergence will be shown.

Date: Tuesday, April 10, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer