Overview

The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems. The author starts with a discussion of the Laplace equation in the classical formulation and its discretisation by finite differences and deals with topics of gradually increasing complexity in the following chapters. He introduces the variational formulation of boundary value problems together with the necessary background from functional analysis and describes the finite element method including the most important error estimates. A more advanced chapter leads the reader into the theory of regularity. The reader will also find more details about the discretisation of singularly perturbed equations and eigenvalue problems. The author discusses the Stokes problem as an example of a saddle point problem taking into account its relevance to applications in fluid dynamics.

Full Product Details

Author:   Wolfgang Hackbusch ,  R. Fadiman ,  P.D.F. Ion
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1992. 2nd printing 1992
Volume:   18
Dimensions:   Width: 15.60cm , Height: 1.90cm , Length: 23.40cm
Weight:   1.420kg
ISBN:  

9783540548225

ISBN 10:   354054822
Pages:   311
Publication Date:   08 October 1992
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Replaced By:   9783662549605
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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