An analysis of HDG methods for the vorticity-velocity-pressure formulation of the stokes problem in three dimensions

Bernardo Cockburn, Jintao Cui

Research output: Contribution to journalArticlepeer-review

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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 k ≥ 0, the L2-norm of the errors in the approximate vorticity and pressure converge to zero with order k+1/2, whereas the error in the approximate velocity converges with order k + 1.

Original languageEnglish (US)
Pages (from-to)1355-1368
Number of pages14
JournalMathematics of Computation
Volume81
Issue number279
DOIs
StatePublished - 2012

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