Remarks on the Lagrangian stucture of the Eikonal Equation and its impact on Eulerian numerics
Résumé
We make use of the {\em Lagangian structure} of the Eikonal equation obtained by considering its gradient to \begin{enumerate} \item observe a superconvergence phenomena on the Rouy-Tourin first order algorithm . \item propose a second order pure upwind extension of the Rouy Tourin algorithm. \end{enumerate} We also discuss the exension of this second order algorithm to the Transport equation.
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