Article ID Journal Published Year Pages File Type
4641980 Journal of Computational and Applied Mathematics 2008 8 Pages PDF
Abstract

This paper considers a stabilized method based on the difference between a consistent and an under-integrated mass matrix of the pressure for the Stokes equations approximated by the lowest equal-order finite element pairs (i.e., the P1P1–P1P1 and Q1Q1–Q1Q1 pairs). This method only offsets the discrete pressure space by the residual of the simple and symmetry term at element level in order to circumvent the inf–sup condition. Optimal error estimates are obtained by applying the standard Galerkin technique. Finally, the numerical illustrations agree completely with the theoretical expectations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,