2008-09 IAM-PIMS-MITACS Distinguished Colloquium Series - 05

  • Date: 03/30/2009
Bernardo Cockburn (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


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.