2008-09 IAM PIMS MITACS Distinguished Colloquium-5
- Date: 03/30/2009
Bernardo Cockburn – Department of Mathematics, University of Minnesota
University of British Columbia
The Hybridizable Discontinuous Galerkin Methods
The success of the application of discontinuous Galerkin methods to nonlinear hyperbolic problems in the 1990s fueled the recent exploration of new and old DG methods for elliptic problems. Although the DG methods are clearly ideal for adaptive strategies, the method has been criticized, especially within the structural mechanics community, for having significantly more degrees of freedom than the continuous Galerkin method (for the same mesh) and for producing less accurate solutions than certain mixed methods. The hybridizable discontinuous Galerkin methods appeared as a response to this criticism. In this talk, we introduce these methods in the framework of second-order elliptic problems, show why they can be efficiently implemented and prove that they are actually more accurate than all previously known discontinuous Galerkin methods. Numerical comparisons with the continuous Galerkin method and with some mixed methods will be presented.
3:00-4:00pm, Room 301, Leonard S. Klinck Building (6356 Agricultural Road, UBC). Refreshments are served in room 306 (IAM Lounge) at about 15 minutes before the talks.
This is the 5th lecture of the 2008-09 IAM-PIMS-MITACS Distinguished Colloquium Series.
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