The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow

Authors

Bernardo Cockburn, University of Minnesota - Twin CitiesFollow
Jay Gopalakrishnan, Portland State UniversityFollow

Document Type

Post-Print

Publication Date

2009

Subjects

Hybridization, Galerkin methods, Partial differential equations, Stokes equations, Mathematical optimization

Abstract

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.

Description

This is the author’s version of a work that was accepted for publication in SIAM Journal on Numerical Analysis. A definitive version was subsequently published in SIAM Journal on Numerical Analysis, 2009. Vol. 47 Issue 2, p. 1092-1125.

DOI

10.1137/080726653

Persistent Identifier

http://archives.pdx.edu/ds/psu/10702

Citation Details

Cockburn, Bernardo and Gopalakrishnan, Jay, "The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow" (2009). Mathematics and Statistics Faculty Publications and Presentations. 58.
http://archives.pdx.edu/ds/psu/10702