A single trace integral formulation of the second kind for acoustic scattering
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2011-03
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Report
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Abstract
We study the scattering of acoustic waves by an object composed of several adjacent parts with different material properties. For this problem we derive an integral formulation of the second kind. This formulation only involves one Dirichlet datum and one Neumann datum at each point of each interface of the object, so that our formulation can be considered to belong to the same family as the formulation of the first kind that was analyzed by von Petersdorff in [16] for scalar problems and by Buffa in [3] for Maxwell’s equations.
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2011-14
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Seminar for Applied Mathematics, ETH Zurich
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03632 - Hiptmair, Ralf / Hiptmair, Ralf