Multigrid Methods for Finite Elements
Author:   V.V. Shaidurov ,  N.B. Urusova
Publisher:   Springer
Edition:   1995 ed.
Volume:   318
ISBN:  

9780792332909


Pages:   334
Publication Date:   31 January 1995
Format:   Hardback
Availability:   In Print   Availability explained
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Multigrid Methods for Finite Elements


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Overview

This text combines two rapidly developing fields: finite element methods, and multigrid algorithms. At the theoretical level, it 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. 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.

Full Product Details

Author:   V.V. Shaidurov ,  N.B. Urusova
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   318
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.490kg
ISBN:  

9780792332909


ISBN 10:   0792332903
Pages:   334
Publication Date:   31 January 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

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