English

Inverse medium problems, saddle point formulation

Numerical Analysis 2024-12-31 v1 Numerical Analysis

Abstract

In this paper we discuss inverse medium problems. We develop the direct sampling method based on probing indices using the saddle point formulation. The medium is constructed by solutions of saddle point problems. The method improves the probing functions for the direct sampling method and directly images the medium. The method is very efficient and can be applied to a general class of inverse medium problems.

Keywords

Cite

@article{arxiv.2412.20713,
  title  = {Inverse medium problems, saddle point formulation},
  author = {Kazufumi Ito},
  journal= {arXiv preprint arXiv:2412.20713},
  year   = {2024}
}

Comments

9 pages, No figures

R2 v1 2026-06-28T20:51:40.315Z