Mixed mortar element method for \(P^{NC}_1/P_0\) element and its multigrid method for the incompressible Stokes problem
type: Item
instance of: scholarly article
title: Mixed mortar element method for \(P^{NC}_1/P_0\) element and its multigrid method for the incompressible Stokes problem
zbMATH Open document ID: 1264.76061
DOI: 10.1155/2012/979307
author: Yaqin Jiang
author: Jinru Chen
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We discuss a mortar-type \(P^{NC}_1/P_0\) element method for the incompressible Stokes problem. We prove the inf-sup condition and obtain the optimal error estimate. Meanwhile, we propose a \(\mathcal W\)-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.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 6173742
Wikidata QID: Q58912794
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/979307
OpenAlex ID: W1598070011
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description: scientific article; zbMATH DE number 6173742