Mixed Mortar Element Method for Element and Its Multigrid Method for the Incompressible Stokes Problem

Yaqin Jiang and Jinru Chen

Mathematical Problems in Engineering, 2012, vol. 2012, 1-18

Abstract:

We discuss a mortar-type element method for the incompressible Stokes problem. We prove the inf-sup condition and obtain the optimal error estimate. Meanwhile, we propose a -cycle multigrid for solving this discrete problem and prove the optimal convergence of the multigrid method, that is, the convergence rate is independent of the mesh size and mesh level. Finally, numerical experiments are presented to confirm our theoretical results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:979307

DOI: 10.1155/2012/979307

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