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Nonexistence and nonuniqueness problems associated with integral equation methods in acoustics

โœ Scribed by W. Benthien; A. Schenck


Book ID
104268787
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
941 KB
Volume
65
Category
Article
ISSN
0045-7949

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โœฆ Synopsis


There are a number of ways in which external radiation and scattering problems can be reduced to integral equations over a surface. Often there is a discrete set of wavenumbers or frequencies for which the solution I:O these integral equations either does not exist or is not unique. In this paper we will review many of the methods for handling these nonexistance or nonuniqueness problems and will compare the accuracy and efficiency of several of these methods.


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TERMINATION CRITERIA IN ITERATIVE SOLUTI
โœ WALKER, S. P. ;LEE, B. H. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 135 KB ๐Ÿ‘ 1 views

Iterative methods are used increasingly for solution of the extremely large matrix equations generated by integral equation analysis of multi-wavelength frequency domain scattering. Although much cheaper than direct methods, the matrix solution remains the dominant cost, and is very costly. The crit