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

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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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
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spelling doaj-8de394205d144093bd0aa798581d77b02020-11-24T21:24:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/979307979307Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes ProblemYaqin Jiang0Jinru Chen1Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, ChinaJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, ChinaWe 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, the convergence rate is independent of the mesh size and mesh level. Finally, numerical experiments are presented to confirm our theoretical results.http://dx.doi.org/10.1155/2012/979307
collection DOAJ
language English
format Article
sources DOAJ
author Yaqin Jiang
Jinru Chen
spellingShingle Yaqin Jiang
Jinru Chen
Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem
Mathematical Problems in Engineering
author_facet Yaqin Jiang
Jinru Chen
author_sort Yaqin Jiang
title Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem
title_short Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem
title_full Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem
title_fullStr Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem
title_full_unstemmed Mixed Mortar Element Method forP1NC/P0 Element and Its Multigrid Method for the Incompressible Stokes Problem
title_sort mixed mortar element method forp1nc/p0 element and its multigrid method for the incompressible stokes problem
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description 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, the convergence rate is independent of the mesh size and mesh level. Finally, numerical experiments are presented to confirm our theoretical results.
url http://dx.doi.org/10.1155/2012/979307
work_keys_str_mv AT yaqinjiang mixedmortarelementmethodforp1ncp0elementanditsmultigridmethodfortheincompressiblestokesproblem
AT jinruchen mixedmortarelementmethodforp1ncp0elementanditsmultigridmethodfortheincompressiblestokesproblem
_version_ 1725986101983707136

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