Quasi-local multi-trace boundary integral formulationsReport as inadecuate

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1 LJLL - Laboratoire Jacques-Louis Lions 2 ALPINES - Algorithms and parallel tools for integrated numerical simulations LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, Institut National des Sciences Mathématiques et de leurs Interactions

Abstract : In the context of time harmonic wave scattering by piecewise homogeneous penetrable objects, we present a new variant of the multi-trace boundary integral formulation, that differs from the local multi-trace approach of Jerez-Hanckes \& Hiptmair, 2012, by the presence of regularisation terms involving boundary integral operators and localised at junctions i.e. points where at least three subdomains abut. We prove well-posedness and quasi-optimal convergence of conforming Galerkin discretisations for this new formulation, and present numerical results.

Keywords : boundary elements integral equations wave scattering multi-subdomains

Author: Xavier Claeys -

Source: https://hal.archives-ouvertes.fr/


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