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Integral Equations on Multi-Screens

by X. Claeys and R. Hiptmair

(Report number 2013-03)

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.

Keywords: Scattering, trace spaces, junctions, boundary integral operators, boundary integral equations

@Techreport{CH13_499,
  author = {X. Claeys and R. Hiptmair},
  title = {Integral Equations on Multi-Screens},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2013-03},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2013/2013-03.pdf },
  year = {2013}
}

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