High frequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidal-shaped boundaries

Abstract : The performance of the second order local approximate DtN boundary condition, suggested by the authors in a previous work, is investigated analytically when employed for solving high-frequency exterior Helmholtz problems. This study proves that, in the high frequency regime, the reflected waves at the artificial boundary decay faster than $1/{(ka)^{15/8}}$ where $k$ is the wavenumber and $a$ is the semi-major axis of this boundary. Numerical results illustrate the accuracy and the efficiency of the proposed absorbing boundary condition when used for solving acoustic scattering problems in a domain-based formulation.
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[Research Report] RR-7137, INRIA. 2009, pp.38
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Hélène Barucq, Rabia Djellouli, Anne-Gaëlle Saint-Guirons. High frequency analysis of the efficiency of a local approximate DtN2 boundary condition for prolate spheroidal-shaped boundaries. [Research Report] RR-7137, INRIA. 2009, pp.38. 〈inria-00438845v2〉

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