HDG methods for second-order elliptic problems
Presenter
November 5, 2010
Keywords:
- Galerkin methods
MSC:
- 65L60
Abstract
In this talk, we discuss a new class of discontinuous Galerkin methods called "hybridizable". Their distinctive feature is that the only globally-coupled degrees of freedom are those of the numerical trace of the scalar variable. This renders them efficiently implementable. Moreover, they are more precise than all other discontinuous Galerkin methods as thet share with mixed methods their superconvergence properties in the scalar variable and their optimal order of convergence for the vector variable. We are going to show how to devise these methods and comment on their implementation and convergence properties.