Orthogonal modes of a fully anisotropic and heterogeneous elastic medium
Analysis of PDEs
2023-07-04 v3
Abstract
The aim of this short note is to give a synthetic presentation of the mathematical elements that are used to solve the elastic wave system of equations in a bounded anisotropic elastic body, in a general framework. In particular, the proof of existence of a basis of orthogonal modes is given. We explain how these modes can by used to efficiently approach dynamic problems in time or harmonic regimes.
Keywords
Cite
@article{arxiv.2303.14984,
title = {Orthogonal modes of a fully anisotropic and heterogeneous elastic medium},
author = {Laurent Seppecher},
journal= {arXiv preprint arXiv:2303.14984},
year = {2023}
}