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Multigrid Methods for Finite Elements

Multigrid Methods for Finite Elements

Paperback

Series: Mathematics and Its Applications, Book 318

General Mathematics

ISBN10: 9048145066
ISBN13: 9789048145065
Publisher: Springer Nature
Published: Dec 15 2010
Pages: 334
Weight: 1.09
Height: 0.73 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics