On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations
Analysis of PDEs
2011-10-20 v1 Numerical Analysis
Abstract
In the present article, we study the numerical approximation of a system of Hamilton-Jacobi and transport equations arising in geometrical optics. We consider a semi-Lagrangian scheme. We prove the well posedness of the discrete problem and the convergence of the approximated solution toward the viscosity-measure valued solution of the exact problem.
Keywords
Cite
@article{arxiv.1110.4291,
title = {On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations},
author = {Yves Achdou and Fabio Camilli and Lucilla Corrias},
journal= {arXiv preprint arXiv:1110.4291},
year = {2011}
}
Comments
22 pages