Mathematics and Statistics Faculty Publications

A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem

Document Type

Article

Abstract

We introduce a covolume or marker and cell (MAC) method for approximating the generalized Stokes problem on an axiparallel domain. Two grids are needed, the primal grid made up of rectangles and the dual grid of quadrilaterals. The velocity is approximated by nonconforming rotated bilinear elements with degrees of freedom at midpoints of rectangular elements and the pressure by piecewise constants. The error in the velocity in the Hh norm and the pressure in the L2 norm are of first order, provided that the exact velocity is in H2 and the exact pressure in H1.

Publication Date

1998

Publication Title

SIAM Journal on Numerical Analysis

Publisher

Society for Industrial and Applied Mathematics

DOI

https://doi.org/10.1137/S0036142996299964

Volume

35

Issue

2

Start Page No.

494

End Page No.

507

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