Article ID Journal Published Year Pages File Type
4638588 Journal of Computational and Applied Mathematics 2015 12 Pages PDF
Abstract

A modified weak Galerkin (MWG) finite element method is introduced for the Stokes equations in the primary velocity–pressure formulation. This method is based on the weak Galerkin (WG) finite element method developed recently in Wang and Ye (0000). The unknowns associated with element boundaries in the WG method have been eliminated in the MWG method. As the result, the MWG method has fewer degrees of freedom. Optimal-order error estimates are established for the corresponding numerical approximation in various norms. Numerical results are presented to confirm the theory.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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