Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

Derek J. Hansen; Clair Poignard; Michael S. Vogelius

doi:10.1080/00036810701243073

Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

Derek J. Hansen, Clair Poignard, Michael S. Vogelius

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We establish L ²-based estimates of the scattering produced by a small circular inhomogeneity. These estimates apply to any frequency, and most importantly they exhibit a behaviour that is consistent with numerically observed solutions, uniformly in frequency and size of the inhomogeneity.

Original language	English (US)
Pages (from-to)	433-458
Number of pages	26
Journal	Applicable Analysis
Volume	86
Issue number	4
DOIs	https://doi.org/10.1080/00036810701243073
State	Published - Apr 2007

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

Helmholtz scattering
Small inhomogeneity

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10.1080/00036810701243073

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title = "Asymptotically precise norm estimates of scattering from a small circular inhomogeneity",

abstract = "We establish L 2-based estimates of the scattering produced by a small circular inhomogeneity. These estimates apply to any frequency, and most importantly they exhibit a behaviour that is consistent with numerically observed solutions, uniformly in frequency and size of the inhomogeneity.",

keywords = "Helmholtz scattering, Small inhomogeneity",

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year = "2007",

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T1 - Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

AU - Hansen, Derek J.

AU - Poignard, Clair

AU - Vogelius, Michael S.

PY - 2007/4

Y1 - 2007/4

N2 - We establish L 2-based estimates of the scattering produced by a small circular inhomogeneity. These estimates apply to any frequency, and most importantly they exhibit a behaviour that is consistent with numerically observed solutions, uniformly in frequency and size of the inhomogeneity.

AB - We establish L 2-based estimates of the scattering produced by a small circular inhomogeneity. These estimates apply to any frequency, and most importantly they exhibit a behaviour that is consistent with numerically observed solutions, uniformly in frequency and size of the inhomogeneity.

KW - Helmholtz scattering

KW - Small inhomogeneity

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M3 - Article

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VL - 86

SP - 433

EP - 458

JO - Applicable Analysis

JF - Applicable Analysis

IS - 4

ER -

Asymptotically precise norm estimates of scattering from a small circular inhomogeneity

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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