Condition Number Estimates for Combined Potential Integral Operators in Acoustic Scattering
نویسندگان
چکیده
We study the classical combined field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle, namely the indirect formulation due to Brakhage-Werner/Leis/Panich, and the direct formulation associated with the names of Burton and Miller. We obtain lower and upper bounds on the condition number, emphasising dependence on the frequency, the geometry of the scatterer, and the coupling parameter.
منابع مشابه
Condition Number Estimates for Combined Potential Boundary Integral Operators in Acoustic Scattering
ABSTRACT. We study the classical combined field integral equation formulations for time-harmonic acoustic scattering by a sound soft bounded obstacle, namely the indirect formulation due to Brakhage-Werner/Leis/Panič, and the direct formulation associated with the names of Burton and Miller. We obtain lower and upper bounds on the condition numbers for these formulations, emphasising dependence...
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تاریخ انتشار 2007