On closest isotropic tensors and their norms
Geophysics
2016-04-14 v1
Abstract
An anisotropic elasticity tensor can be approximated by the closest tensor belonging to a higher symmetry class. The closeness of tensors depends on the choice of a criterion. We compare the closest isotropic tensors obtained using four approaches: the Frobenius 36-component norm, the Frobenius 21-component norm, the operator norm and the L2 slowness-curve fit. We find that the isotropic tensors are similar to each other within the range of expected measurement errors.
Keywords
Cite
@article{arxiv.1604.03833,
title = {On closest isotropic tensors and their norms},
author = {Tomasz Danek and Andrea Noseworthy and Michael A. Slawinski},
journal= {arXiv preprint arXiv:1604.03833},
year = {2016}
}