Investigation of a preconditioner for the \(P_{2} - P_{1}\) finite element solution of Stokes problem
type: Item
instance of: scholarly article
title: Investigation of a preconditioner for the \(P_{2} - P_{1}\) finite element solution of Stokes problem
zbMATH Open document ID: 1114.65138
author: M. Bagheroskoui
author: S. Mohammad Hosseini
published in: Applied Mathematics and Computation
publication date: 2007-04-26T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 5147024
zbMATH Keywords: condition number
zbMATH Keywords: penalty method
zbMATH Keywords: \(P_{2}- P_{1}\) finite element method
zbMATH Keywords: preconditioning
zbMATH Keywords: numerical examples
zbMATH Keywords: indefinite stiffness matrix
zbMATH Keywords: conjugate residual method
MaRDI profile type: Publication
full work available at URL: j.amc.2006.08.002
OpenAlex ID: W2063794360
cites work: Equivalent Norms for Sobolev Spaces
cites work: A Taxonomy for Conjugate Gradient Methods
cites work: A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
cites work: Numerical solution of saddle point problems
cites work: Mixed and Hybrid Finite Element Methods
cites work: An analysis of a mixed finite element method for the Navier-Stokes equations
cites work: Q4255433
cites work: Necessary and sufficient conditions for the simplification of generalized conjugate-gradient algorithms
cites work: A Posteriori Error Estimation for Stabilized Mixed Approximations of the Stokes Equations
cites work: An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
DOI: 10.1016/J.AMC.2006.08.002
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description: scientific article; zbMATH DE number 5147024