A stable method for an inverse problem in acoustic scattering by an obstacle with an impedance boundary condition
1984 ◽
Vol 98
(3-4)
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pp. 355-364
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Keyword(s):
SynopsisWe examine the case of plane, time-harmonic acoustic waves in two dimensions, scattered by an obstacle on the surface of which an impedance boundary condition is imposed. A stable method is developed for solving the inverse problem ofdetermining both the shape of the scatterer and the surface impedance from measurements of the asymptotic behaviour of the scattered waves at low frequencies. We accomplish this by minimizing an appropriate functional over a compact set of admissible boundary curves and admissible impedances.
2020 ◽
Vol 12
(1)
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pp. 101-140
2018 ◽
Vol 92
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pp. 218-224
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2012 ◽
Vol 248
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pp. 107-113
1985 ◽
Vol 105
(2)
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pp. 333-356
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1999 ◽
Vol 5
(2)
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pp. 173-192
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2006 ◽
Vol 35
(3)
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pp. 659-681
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Keyword(s):