The derivation of hybridizable discontinuous Galerkin methods for Stokes flow
B Cockburn, J Gopalakrishnan - SIAM Journal on Numerical Analysis, 2009 - SIAM
SIAM Journal on Numerical Analysis, 2009•SIAM
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.
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.
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.
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