Mixed mortar element method for \(P^{NC}_1/P_0\) element and its multigrid method for the incompressible Stokes problem

DOI10.1155/2012/979307zbMath1264.76061OpenAlexW1598070011WikidataQ58912794 ScholiaQ58912794MaRDI QIDQ1955436

Yaqin Jiang, Jinru Chen

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/979307

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• An efficient smoother for the Stokes problem
• Analysis of mortar-type \(Q_1^{\mathrm{rot}}/Q_0\) element and multigrid methods for the incompressible Stokes problem
• An additive Schwarz preconditioner for the mortar-type rotated \(Q_1\) FEM for elliptic problems with discontinuous coefficients
• A coupled multigrid method for nonconforming finite element discretizations of the 2D-Stokes equation
• The mortar element method with locally nonconforming elements
• A dual-primal FETI method for incompressible Stokes equations
• A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components
• Finite Element Methods for Navier-Stokes Equations
• The Mixed Mortar Finite Element Method for the Incompressible Stokes Problem: Convergence Analysis
• A Multigrid Algorithm for the Mortar Finite Element Method
• BDDC Algorithms for Incompressible Stokes Equations

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