Analysis and Convergence of the MAC Scheme. 1. The Linear Problem
INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
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The MAC Market and Cell discretization of fluid flow is analyzed for the stationary Stokes equations. It is proved that the discrete approximations do in fact converge to the exact solutions of the flow equations. Estimates using mesh dependent norms analogous to the standard H sub 1 and L sub 2 norms are given for the velocity and pressure respectively.
- Numerical Mathematics
- Fluid Mechanics