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摘要
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 L-2-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.
- 出版日期2012-7
