Advances in the Complex Variable Boundary Element Method

Hromadka Theodore V. Whitley Robert J.

ISBN 10: 1849969973 / ISBN 13: 9781849969970

Editore: Springer, 2010

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Print on Demand pp. 408 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

Codice articolo 5677073

Dati bibliografici

• Titolo: Advances in the Complex Variable Boundary Element Method
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1849969973
• ISBN 13: 9781849969970
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

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.