An approximation scheme for an Hamilton-Jacobi equation defined on a network
Analysis of PDEs
2012-12-14 v3 Numerical Analysis
Abstract
In this paper we study an approximation scheme for an Hamilton-Jacobi equation of Eikonal type defined on a network. We introduce an appropriate notion of viscosity solution for this class of equations (see \cite{sc}) and we prove that an approximation scheme of semi-Lagrangian type converges to the unique solution of the problem.
Cite
@article{arxiv.1105.5725,
title = {An approximation scheme for an Hamilton-Jacobi equation defined on a network},
author = {Fabio Camilli and Adriano Festa and Dirk Schieborn},
journal= {arXiv preprint arXiv:1105.5725},
year = {2012}
}