On inverse problems modeled by PDE's
Numerical Analysis
2020-12-02 v1 Numerical Analysis
Abstract
We investigate the iterative methods proposed by Maz'ya and Kozlov (see [3], [4]) for solving ill-posed reconstruction problems modeled by PDE's. We consider linear time dependent problems of elliptic, hyperbolic and parabolic types. Each iteration of the analyzed methods consists on the solution of a well posed boundary (or initial) value problem. The iterations are described as powers of affine operators, as in [4]. We give alternative convergence proofs for the algorithms, using spectral theory and some functional analytical results (see [5], [6]).
Keywords
Cite
@article{arxiv.2012.00611,
title = {On inverse problems modeled by PDE's},
author = {A. Leitao},
journal= {arXiv preprint arXiv:2012.00611},
year = {2020}
}
Comments
13 pages 5 figures. arXiv admin note: substantial text overlap with arXiv:2011.14441