A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations

SUMMARYA unified framework of dual‐primal finite element tearing and interconnecting (FETI‐DP) algorithms is proposed for solving the system of linear equations arising from the mixed finite element approximation of incompressible Stokes equations. A distinctive feature of this framework is that it...

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Veröffentlicht in:International journal for numerical methods in engineering Jg. 94; H. 2; S. 128 - 149
Hauptverfasser: Tu, Xuemin, Li, Jing
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester Blackwell Publishing Ltd 13.04.2013
Wiley
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Schlagworte:
Algorithms
Approximation
BDDC
Computational methods in fluid dynamics
Convergence
Dirichlet problem
domain decomposition
Exact sciences and technology
FETI-DP
Finite element method
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
incompressible Stokes
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis. Scientific computation
Physics
Sciences and techniques of general use
Tearing
Performance evaluation
Linear systems
Stokes equation
Conjugate gradient methods
Experimental study
Mixed method
Finite element method
Incompressible flow
FETI-DP
Primal dual method
Convergence rate
Dirichlet problem
Boundary-value problems
Modelling
Incompressible fluid
Domain decomposition
Preconditioning
incompressible Stokes
BDDC
ISSN:0029-5981, 1097-0207
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Zusammenfassung:SUMMARYA unified framework of dual‐primal finite element tearing and interconnecting (FETI‐DP) algorithms is proposed for solving the system of linear equations arising from the mixed finite element approximation of incompressible Stokes equations. A distinctive feature of this framework is that it allows using both continuous and discontinuous pressures in the algorithm, whereas previous FETI‐DP methods only apply to discontinuous pressures. A preconditioned conjugate gradient method is used in the algorithm with either a lumped or a Dirichlet preconditioner, and scalable convergence rates are proved. This framework is also used to describe several previously developed FETI‐DP algorithms and greatly simplifies their analysis. Numerical experiments of solving a two‐dimensional incompressible Stokes problem demonstrate the performances of the discussed FETI‐DP algorithms represented under the same framework.Copyright © 2012 John Wiley & Sons, Ltd.
Bibliographie:istex:703F083A5B8F9EC7592C989CC6A39722F685951C
ark:/67375/WNG-TWSP62CH-8
National Science Foundation - No. DMS-1115759
ArticleID:NME4439
ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ObjectType-Article-2
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4439