2008-09 IAM-PIMS-MITACS Distinguished Colloquium Series - 05
Topic
The Hybridizable Discontinuous Galerkin Methods
Speakers
Details
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.
Additional Information
This is a Past Event
Event Type
Scientific, Seminar
Date
March 30, 2009
Time
-
Location