Condition number estimates for combined potential boundary integral operators in acoustic scattering
Chandler-Wilde, S. N., Graham, I. G., Langdon, S. and Lindner, M., 2009. Condition number estimates for combined potential boundary integral operators in acoustic scattering. Journal of Integral Equations and Applications, 21 (2), pp. 229-279.
Related documents:This repository does not currently have the full-text of this item.
You may be able to access a copy if URLs are provided below. (Contact Author)
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 on the frequency, the geometry of the scatterer, and the coupling parameter. Of independent interest we also obtain upper and lower bounds on the norms of two oscillatory integral operators, namely the classical acoustic single- and double-layer potential operators.
|Creators||Chandler-Wilde, S. N., Graham, I. G., Langdon, S. and Lindner, M.|
|Departments||Faculty of Science > Mathematical Sciences|
Actions (login required)