An analysis of HDG methods for the vorticity-velocity-pressure formulation of the Stokes problem in three dimensions
Open Access
- 1 September 2012
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 81 (279) , 1355-1368
Abstract
We provide the first a priori error analysis of a hybridizable discontinuous Galerkin (HDG) method for solving the vorticity-velocity-pressure formulation of the three-dimensional Stokes equations of incompressible fluid flow. By using a projection-based approach, we prove that, when all the unknowns use polynomials of degree , the -norm of the errors in the approximate vorticity and pressure converge to zero with order , whereas the error in the approximate velocity converges with order .Keywords
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