Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography
Analysis of PDEs
2020-01-08 v1 Optimization and Control
Abstract
This paper is concerned with robust preconditioning of wave equations constrained linear inverse problems from boundary observation data. The main result of this paper is a concept for regularization parameter robust preconditioning. Analogous concepts have been developed for control problems based on elliptic partial equations before.
Keywords
Cite
@article{arxiv.1905.13490,
title = {Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography},
author = {Alexander Beigl and Otmar Scherzer and Jarle Sogn and Walter Zulehner},
journal= {arXiv preprint arXiv:1905.13490},
year = {2020}
}