Advances in the Complex Variable Boundary Element Method
Hromadka, Theodore V., II; Whitley, R. J.
ISBN 10: 3540761942 ISBN 13: 9783540761945
Published by Springer, 1997
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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.
Synopsis: As well as describing the applications of the CVBEM, the authors explain its mathematical background - vital to understanding the subject as a whole. This is a comprehensive book, bringing together ten years of work in CVBEM technology. It should be of particular interest to those concerned with solving technical engineering problems - while scientists, graduate students, computer programmers and those working in industry should find the book helpful.
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Bibliographic Details
Title: Advances in the Complex Variable Boundary ...
Publisher: Springer
Publication Date: 1997
Binding: Hardcover
Condition: New
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