Deconvolution and regularization for numerical solutions of incorrectly posed problems
Journal of Computational and Applied Mathematics
Determining Planar Multiple Sound-Soft Obstacles from Scattered Acoustic Fields
Journal of Mathematical Imaging and Vision
An efficient multilevel algorithm for inverse scattering problem
ISICA'07 Proceedings of the 2nd international conference on Advances in computation and intelligence
Strengthened Linear Sampling Method with a Reference Ball
SIAM Journal on Scientific Computing
Enhanced multilevel linear sampling methods for inverse scattering problems
Journal of Computational Physics
| Hi-index | 0.01 |
The inverse scattering problem under consideration is to determine the shape of an obstacle in $\RE^3$ from a knowledge of the time harmonic incident acoustic wave and the far field pattern of the scattered wave with frequency in the resonance region. A method for solving this nonlinear and improperly posed problem is presented which is based on solving a linear integral equation of the first kind and avoids the use of nonlinear optimization methods. Numerical examples are given showing the practicality of this new approach.