The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes FlowMathematics and Statistics Faculty Publications and Presentations
- Galerkin methods,
- Partial differential equations,
- Stokes equations,
- Mathematical optimization
AbstractIn this paper, we introduce a new class of discontinuous Galerkin methods for the Stokes equations. The main feature of these methods is that they can be implemented in an efficient way through a hybridization procedure which reduces the globally coupled unknowns to certain approximations on the element boundaries. We present four ways of hybridizing the methods, which differ by the choice of the globally coupled unknowns. Classical methods for the Stokes equations can be thought of as limiting cases of these new methods.
Citation InformationBernardo Cockburn and Jay Gopalakrishnan. "The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow" (2009)
Available at: http://works.bepress.com/jay-gopalakrishnan/45/