Advances in the Complex Variable Boundary Element Method

Robert J. Whitley

ISBN 10: 3540761942 / ISBN 13: 9783540761945

Editore: Springer London, Springer Berlin Heidelberg Nov 1997, 1997

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This item is printed on demand - Print on Demand Titel. Neuware -Since its inception by Hromadka and Guymon in 1983, the Complex Variable Boundary Element Method or CVBEM has been the subject of several theoretical adventures as well as numerous exciting applications. The CVBEM is a numerical application of the Cauchy Integral theorem (well-known to students of complex variables) to two-dimensional potential problems involving the Laplace or Poisson equations. Because the numerical application is analytic, the approximation exactly solves the Laplace equation. This attribute of the CVBEM is a distinct advantage over other numerical techniques that develop only an inexact approximation of the Laplace equation. In this book, several of the advances in CVBEM technology, that have evolved since 1983, are assembled according to primary topics including theoretical developments, applications, and CVBEM modeling error analysis. The book is self-contained on a chapter basis so that the reader can go to the chapter of interest rather than necessarily reading the entire prior material. Most of the applications presented in this book are based on the computer programs listed in the prior CVBEM book published by Springer-Verlag (Hromadka and Lai, 1987) and so are not republished here.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 408 pp. Englisch. Codice articolo 9783540761945

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Titolo: Advances in the Complex Variable Boundary ...

Casa editrice: Springer London, Springer Berlin Heidelberg Nov 1997

Data di pubblicazione: 1997

Legatura: Buch

Condizione: Neu

Descrizione articolo

Riassunto:

As well as describing the extremely useful applications of the CVBEM, the authors explain its mathematical background -- vital to understanding the subject as a whole. This is the most comprehensive book on the subject, bringing together ten years of work and can boast the latest news in CVBEM technology. It is thus of particular interest to those concerned with solving technical engineering problems -- while scientists, graduate students, computer programmers and those working in industry will all find the book helpful.

Contenuti:

1. Overview of the Complex Variable Boundary Element Method (CVBEM).- 2. Advanced CVBEM Topics.- 3. Applications of the CVBEM in Mathematics, Science and Engineering.- 4. Topics in Numerical Analysis.- 5. Numerical Error Analysis.- References.