Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem

We discuss a mortar-type P1NC/P0 element method for the incompressible Stokes problem. We prove the inf-sup condition and obtain the optimal error estimate. Meanwhile, we propose a 𝒲-cycle multigrid for solving this discrete problem and prove the optimal convergence of the multigrid method, that is,...

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Bibliographic Details
Main Authors: Yaqin Jiang, Jinru Chen
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/979307