A forward-model-free iterative method for the inverse obstacle scattering problems in three dimensions
Abstract
This article provides a numerical study on the inverse scattering problem of reconstructing the three-dimensional obstacle from the scattered field measurements. We present a unified algorithmic framework for treating the nonlinear and ill-posed inverse problems governed by time-harmonic acoustic and elastic waves. Combining the layer potential theory and the linearization strategy, we establish and investigate the 3D implementation of a surrogate-model-free iterative method. Numerical experiments for both acoustic and elastic waves are conducted to test the performance of the proposed method.
Fields of Study & Subjects
Numerical methods in inverse problems
Microwave Imaging and Scattering Analysis
Electromagnetic Scattering and Analysis
Publication details
- Journal / source
- Inverse Problems and Imaging
- Publisher
- American Institute of Mathematical Sciences (AIMS)
- Volume
- 25
- Issue
- 0
- Pages
- 94–112
- Publication date
- 1 January 2026