Lecture Notes in Engineering

The Complex Variable Boundary Element Method

Authors: Hromadka, T. V.

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About this book

The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro­ duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries.

Table of contents (6 chapters)

  • Flow Processes and Mathematical Models

    Hromadka, Theodore V., II

    Pages 1-10

  • A Review of Complex Variable Theory

    Hromadka, Theodore V., II

    Pages 11-45

  • Mathematical Development of the Complex Variable Boundary Element Method

    Hromadka, Theodore V., II

    Pages 46-100

  • The Complex Variable Boundary Element Method

    Hromadka, Theodore V., II

    Pages 101-161

  • Reducing CVBEM Approximation Relative Error

    Hromadka, Theodore V., II

    Pages 162-204

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-3-642-82361-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $159.00
price for USA in USD
  • ISBN 978-3-540-13743-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Complex Variable Boundary Element Method
Authors
Series Title
Lecture Notes in Engineering
Series Volume
9
Copyright
1984
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin, Heidelberg
eBook ISBN
978-3-642-82361-9
DOI
10.1007/978-3-642-82361-9
Softcover ISBN
978-3-540-13743-6
Series ISSN
0176-5035
Edition Number
1
Number of Pages
XII, 246
Topics