Optimal Mesh Size for Inverse Medium Scattering Problems

TL;DR

This paper investigates how to choose the optimal mesh size in inverse medium scattering problems to improve computational efficiency and accuracy in reconstructing obstacles from far-field or near-field data.

Contribution

It provides a systematic analysis of optimal mesh sizes for inverse scattering problems in 2D and 3D, aiding in more efficient obstacle reconstruction.

Findings

Optimal mesh size reduces computational burden.

Guidelines for mesh selection in 2D and 3D inverse problems.

Enhanced reconstruction accuracy with optimal mesh choices.

Abstract

An optimal mesh size of the sampling region can help to reduce computational burden in practical applications. In this work, we investigate optimal choices of mesh sizes for the identifications of medium obstacles from either the far-field or near-field data in two and three dimensions. The results would have applications in the reconstruction process of inverse scattering problems.