Mathematics and Statistics Faculty Publications
Title
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.
Repository Citation
Chou, So-Hsiang and Kwak, D. Y., "A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem" (1998). Mathematics and Statistics Faculty Publications. 11.
https://scholarworks.bgsu.edu/math_stat_pub/11
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