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Article
The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow
Mathematics and Statistics Faculty Publications and Presentations
  • Bernardo Cockburn, University of Minnesota - Twin Cities
  • Jay Gopalakrishnan, Portland State University
Document Type
Post-Print
Publication Date
1-1-2009
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 Information
Bernardo Cockburn and Jay Gopalakrishnan. "The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow" (2009)
Available at: http://works.bepress.com/jay-gopalakrishnan/45/