EXPONENTIAL DECAY OF HIGH-ORDER SPURIOUS PROLATE SPHEROIDAL MODES INDUCED BY A LOCAL APPROXIMATE DtN EXTERIOR BOUNDARY CONDITION

Abstract

We investigate analytically the asymptotic behavior of high-order spurious prolate spheroidal modes induced by a second-order local approximate DtN absorbing boundary condition (DtN2) when employed for solving high-frequency acoustic scattering problems. We prove that these reflected modes decay exponentially in the high frequency regime. This theoretical… (More)

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