Adaptive refinement and selection process through defect localization for reconstructing an inhomogeneous refraction index
Numerical Analysis
2015-06-15 v2
Abstract
We consider the iterative reconstruction of both the internal geometry and the values of an inhomogeneous acoustic refraction index through a piecewise constant approximation. In this context, we propose two enhancements intended to reduce the number of parameters to reconstruct, while preserving accuracy. This is achieved through the use of geometrical informations obtained from a previously developed defect localization method. The first enhancement consists in a preliminary selection of relevant parameters, while the second one is an adaptive refinement to enhance precision with a low number of parameters. Each of them is numerically illustrated.
Cite
@article{arxiv.1304.4743,
title = {Adaptive refinement and selection process through defect localization for reconstructing an inhomogeneous refraction index},
author = {Yann Grisel and Jean-Pierre Raymond and Pierre-Alain Mazet and Vincent Mouysset},
journal= {arXiv preprint arXiv:1304.4743},
year = {2015}
}