Scientific Computing Group Seminars - Detail View

Speaker: B Cockburn

Affiliation: University of Minnesota

Talk Title: Accuracy of the hybridizable discontinuous Galerkin methods

Invited by: Chi-Wang Shu

Time: Jan. 23 2009 11 a.m.

Location: 182 George Street, Room 110

Abstract:

We discuss the convergence properties of the so-called hybridizable discontinuous Galerkin (HDG) methods for second-order elliptic problems. The HDG methods are discontinuous Galerkin methods that can be implemented in a very efficient manner. They are also more precise than all the previously known discontinuous Galerkin methods for elliptic problems using spaces of equal degree for both the scalar unknown in its gradient. In this talk, we introduce these methods and explore, both numerically as well as theoreticlaly, their convergence properties for convection-diffusion problems in the diffusion-dominated regime. We also discuss numerical results for HDG methods for linear and nonlinear elasticity.