ComicsChildrenHumorFitnessReferenceITLawCookingHobbiesTeachingSelf-HelpPhotoFantasyHistoryTestsCalendarsFictionLGBTTeenagersTransportMemorisMedicineMysteryRelationshipsPoliticsBusinessSpiritualityRomanceBiblesMathSportTravelOtherNo category
» » Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies
Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies e-book

Author:

Alexander G. Ramm

Language:

English

Category:

Math

Subcategory:

Physics

ePub size:

1149 kb

Other formats:

docx txt mobi rtf

Rating:

4.5

Publisher:

Springer; Softcover reprint of the original 1st ed. 1982 edition (May 11, 1982)

Pages:

123

ISBN:

0387906827

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

by Alexander G. Ramm


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.

Static field boundary value problems are reduced to the boundary integral equations and these equations are solved by means of iterative processes. Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies.

Book Condition: Good copy with moderate cover and page wear from being handled and read. Could be an ex-library copy, textual, margin notes, highlighting possible. Sold by breaktimebooks. Condition: Used: Good.

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

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.

This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or. .

This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields

Iterative methods for calculating static fields are presented in this book.

Iterative methods for calculating static fields are presented in this book. This is done for interior and exterior problems and for var­ ious boundary conditions.

This book presents analytical formulas which allow one to calculate the . Many-body EM wave scattering problem for small perfectly conducting particles of an arbitrary shape is solved. Electromagnetic (EM) waves, scattered by a small impedance particle of arbitrary shape, embedded in a homogeneous medium, are calculated by a new analytic formula. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields

Published 1982 by Springer-Verlag in New York.

A. G. Ramm, Iterative methods for calculating static elds and wave scattering by small bodies, Springer Verlag, New York, 1982. A. Ramm, Scattering by obstacles, . eidel, Dordrecht, 1986, p. -442. Ramm, Wave scattering by small bodies of arbitrary shapes, World Sci. Pub-lishers, Singapore, 2005. 2013 Scattering of Acoustic and Electromagnetic Waves by Small Bod-ies of Arbitrary Shapes. Applications to Creating New Engineered Materials, Mo-mentum Press, New York. Strutt), Scientic papers, Cambridge, 1922.

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.

e-Books related to Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies