Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply connected problem
نویسندگان
چکیده
منابع مشابه
A new method for true and spurious eigensolutions of arbitrary cavities using the combined Helmholtz exterior integral equation formulation method.
Integral equation methods have been widely used to solve interior eigenproblems and exterior acoustic problems (radiation and scattering). It was recently found that the real-part boundary element method (BEM) for the interior problem results in spurious eigensolutions if the singular (UT) or the hypersingular (LM) equation is used alone. The real-part BEM results in spurious solutions for inte...
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15 صفحه اولAnalytical study and numerical experiments for true and spurious eigensolutions of a circular cavity using the real-part dual BEM
It has been found recently that the multiple reciprocity method (MRM) (Chen and Wong. Engng. Anal. Boundary Elements 1997; 20(1):25–33; Chen. Processings of the Fourth World Congress on Computational Mechanics, Onate E, Idelsohn SR (eds). Argentina, 1998; 106; Chen and Wong. J. Sound Vibration 1998; 217(1): 75–95.) or real-part BEM (Liou, Chen and Chen. J. Chinese Inst. Civil Hydraulics 1999; 1...
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In this paper a new boundary method for Helmholtz eigenproblems in simply and multiply connected domains is presented. The method is based on mathematically modelling the physical response of a system to external excitation over a range of frequencies. The response amplitudes are then used to determine the resonant frequencies. So, contrary to the traditional scheme, the method described does n...
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ژورنال
عنوان ژورنال: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
سال: 2003
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2002.1084