The inversion algorithm relies on the properties of complete families attached to the Helmholtz equation. Expansion coefficients in the approximate representation of the scattered wave on the obstacle boundary and in the far zone are related by affine transformations. Error analysis is carried out by introducing the ``trusted method'', suggested by a T-matrix scheme. Numerical results are provided to support the estimates.

Crosta, G. (1997). Obstacle reconstruction in acoustics: Error analysis of an inversion algorithm set in the subspace of outgoing spherical wave functions. NONLINEAR ANALYSIS, 30(6), 3481-3492 [10.1016/S0362-546X(97)00276-9].

Obstacle reconstruction in acoustics: Error analysis of an inversion algorithm set in the subspace of outgoing spherical wave functions

CROSTA, GIOVANNI FRANCO FILIPPO
1997

Abstract

The inversion algorithm relies on the properties of complete families attached to the Helmholtz equation. Expansion coefficients in the approximate representation of the scattered wave on the obstacle boundary and in the far zone are related by affine transformations. Error analysis is carried out by introducing the ``trusted method'', suggested by a T-matrix scheme. Numerical results are provided to support the estimates.
Articolo in rivista - Articolo scientifico
Axially symmetric obstacle; Back propagation; Boundary coefficients; Boundary defect minimization; Complete families; Convergence results; Far field coefficients; Inverse acoustics; Minimization algorithm; Shape identification; T-matrixschemes; Mathematics (all); Analysis; Applied Mathematics
English
1997
30
6
3481
3492
none
Crosta, G. (1997). Obstacle reconstruction in acoustics: Error analysis of an inversion algorithm set in the subspace of outgoing spherical wave functions. NONLINEAR ANALYSIS, 30(6), 3481-3492 [10.1016/S0362-546X(97)00276-9].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/93503
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