We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A comparative study of two globally convergent numerical methods for acoustic tomography.
- Authors
Klibanov, Michael V.; Timonov, Alexandre
- Abstract
The comparative study of two globally convergent numerical methods for acoustic tomography is carried out in two dimensions. These are the boundary control method and the quasi-reversibility method. The novelty is that in the latter a nonlinear inverse problem is reduced to a family of the linear integral equation of the first kind via the Lavrentiev approach and this reduction is used within the quasi-reversibility method. The analysis of its stability is carried out via Carleman estimates. The computational effectiveness of these methods is tested in the numerical experiments with the smooth and discontinuous coefficients to be recovered from the tomographic data.
- Subjects
ACOUSTIC tomography; DISCONTINUOUS coefficients; SPATIAL distribution (Quantum optics); MASS density gradients; INTEGRAL equations
- Publication
Communications on Analysis & Computation (CAC), 2023, Vol 1, Issue 1, p1
- ISSN
2837-0562
- Publication type
Article
- DOI
10.3934/cac.2023002