A conformal mapping method in inverse obstacle scattering

A Conformal Mapping Method in Inverse Obstacle Scattering

s of MMA2013 & AMOE2013, May 27–30, 2013, Tartu, Estonia c © 2013 University of Tartu A CONFORMAL MAPPING METHOD IN INVERSE OBSTACLE SCATTERING RAINER KRESS Institut für Numerische und Angewandte Mathematik, Universität Göttingen Lotzestraße 16–18, 37083 Göttingen, Germany E-mail: [email protected] In a series of papers Akduman [1], Haddar [2] and Kress [5] have employed a conformal ...

Multilevel Linear Sampling Method for Inverse Obstacle Scattering

In this talk, we will be mainly concerned with a novel multilevel linear sampling method (MLSM) for reconstructing the obstacle from its corresponding scattering amplitude. The new method is shown to possess asymptotically optimal computational complexity. For an n×n sampling mesh in R2 or an n×n×n sampling mesh in R3, the proposed algorithm requires to solve only O(nN−1) far-field equations fo...

The method of fundamental solutions for inverse obstacle acoustic scattering

In this paper we propose a simple method for detecting (shape, size and location) a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure in the vicinity (near-or far-field) of the obstacle. We develop a nonlinear constrained minimization regularized method of fundamental solutions for obtaining the numerical solution of the inverse ...

Inverse obstacle scattering in the time domain

This work is a study of the extension of an inverse obstacle scattering algorithm for fixed, single-frequency data to multi-frequency time-dependent settings. The inversion algorithm is based on the point source method, which reconstructs scattered fields pointwise with respect to frequency. We use Fourier transforms to obtain the time-dependent scattered fields as superpositions of single-freq...

Inverse obstacle scattering for elastic waves