Hybridization, Galerkin methods, Partial differential equations, Stokes equations, Mathematical optimization
In 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.
Cockburn, Bernardo and Gopalakrishnan, Jay, "The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow" (2009). Mathematics and Statistics Faculty Publications and Presentations. 58.