Multigrid Methods for Finite Elements

V.V. Shaidurov (Autor)

Buch | Softcover

334 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1995
Springer (Verlag)
978-90-481-4506-5 (ISBN)

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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.

1 Elliptic boundary-value problems and Bubnov-Galerkin method.- 2 General properties of finite elements.- 3 On the convergence of approximate solutions.- 4 General description of multigrid algorithms.- 5 Realization of the algorithms for second-order equations.- 6 Solving nonlinear problems and systems of equations.

Erscheint lt. Verlag	15.12.2010
Reihe/Serie	Mathematics and Its Applications ; 318
Zusatzinfo	XIV, 334 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Weitere Themen ► CAD-Programme
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	90-481-4506-6 / 9048145066
ISBN-13	978-90-481-4506-5 / 9789048145065
Zustand	Neuware