Integral Equations on Multi-Screens

Xavier Claeys 1, 2 Ralf Hiptmair 3
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
3 Seminar of Applied Mathematics
SAM - Seminar of Applied Mathematics [Zürich]
Abstract : In the present article, we develop a new functional framework for the study of scalar wave scattering by objects, called multi-screens, that are arbitrary arrangements of thin panels of impenetrable materials. From a geometric point of view, multi-screens are a priori non-orientable non-Lipschitz surfaces. We use our new framework to study boundary integral formulations of the scattering by such objects.
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Submitted on : Wednesday, November 27, 2013 - 6:09:51 PM
Last modification on : Friday, September 20, 2019 - 4:34:04 PM

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Xavier Claeys, Ralf Hiptmair. Integral Equations on Multi-Screens. Integral Equations and Operator Theory, Springer Verlag, 2013, 77 (2), pp 167-197. ⟨10.1007/s00020-013-2085-x⟩. ⟨hal-00910327⟩



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