Multigrid Methods for Finite Elements

Shaidurov V.V.

ISBN 10: 9048145066 ISBN 13: 9789048145065

Editorial: Springer, 2010

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo: Multigrid Methods for Finite Elements
Editor: Springer
Fecha de publicaci�n: 2010
Idioma: Ingl�s
ISBN 10: 9048145066
ISBN 13: 9789048145065
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

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.

Rese�a 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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