Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies

Authors: Ramm, Alexander G.

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About this Textbook

Iterative methods for calculating static fields are presented in this book. Static field boundary value problems are reduced to the boundary integral equations and these equations are solved by means of iterative processes. This is done for interior and exterior problems and for var­ ious boundary conditions. Most problems treated are three-dimensional, because for two-dimensional problems the specific and often powerful tool of conformal mapping is available. The iterative methods have some ad­ vantages over grid methods and, to a certain extent, variational methods: (1) they give analytic approximate formulas for the field and for some functionals of the field of practical importance (such as capacitance and polarizability tensor), (2) the formulas for the functionals can be used in a computer program for calculating these functionals for bodies of arbitrary shape, (3) iterative methods are convenient for computers. From a practical point of view the above methods reduce to the cal­ culation of multiple integrals. Of special interest is the case of inte­ grands with weak singularities. Some of the central results of the book are some analytic approximate formulas for scattering matrices for small bodies of arbitrary shape. These formulas answer many practical questions such as how does the scattering depend on the shape of the body or on the boundary conditions, how does one calculate the effective field in a medium consisting of many small particles, and many other questions.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 67,40 €
price for Spain (gross)
  • ISBN 978-1-4612-5715-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Softcover 83,15 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies
Authors
Copyright
1982
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4612-5715-8
DOI
10.1007/978-1-4612-5715-8
Softcover ISBN
978-0-387-90682-9
Edition Number
1
Number of Pages
XII, 123
Number of Illustrations
11 illustrations in colour
Topics