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Multigrid Methods for Finite Elements : Legal Aspects of International Organization - V.V. Shaidurov

Multigrid Methods for Finite Elements

Legal Aspects of International Organization

Hardcover Published: 31st January 1995
ISBN: 9780792332909
Number Of Pages: 334

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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.

Preface
Introduction
Elliptic boundary-value problems and Bubnov-Galerkin methodp. 1
General properties of finite elementsp. 37
On the convergence of approximate solutionsp. 75
General description of multigrid algorithmsp. 117
Realization of the algorithms for second-order equationsp. 207
Solving nonlinear problems and systems of equationsp. 251
Bibliographyp. 313
Subject indexp. 327
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792332909
ISBN-10: 0792332903
Series: Legal Aspects of International Organization
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 334
Published: 31st January 1995
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.06
Weight (kg): 0.67