Multigrid Methods for Finite Elements: 318 (Mathematics and Its Applications) - Softcover

Shaidurov, V.V.

 
9789048145065: Multigrid Methods for Finite Elements: 318 (Mathematics and Its Applications)
Softcover
ISBN 10: 9048145066 ISBN 13: 9789048145065
Verlag: Springer, 2010

Inhaltsangabe

Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.

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Reseña del editor

Multigrid Methods for Finite Elements combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, Shaidurov justifies the rate of convergence of various multigrid algorithms for self-adjoint and non-self-adjoint problems, positive definite and indefinite problems, and singular and spectral problems. At the practical level these statements are carried over to detailed, concrete problems, including economical constructions of triangulations and effective work with curvilinear boundaries, quasilinear equations and systems. Great attention is given to mixed formulations of finite element methods, which allow the simplification of the approximation of the biharmonic equation, the steady-state Stokes, and Navier--Stokes problems.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048145066
ISBN 13 
9789048145065
Einband
Tapa blanda
Anzahl der Seiten
352
Kontakt zum Hersteller
Nicht verfügbar
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