# Remarks on the Lagrangian stucture of the Eikonal Equation and its impact on Eulerian numerics

Abstract : 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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Reports

Cited literature [18 references]

https://hal.inria.fr/inria-00164603
Contributor : Jean-David Benamou <>
Submitted on : Saturday, July 21, 2007 - 1:58:59 PM
Last modification on : Friday, May 25, 2018 - 12:02:03 PM
Long-term archiving on: : Monday, September 24, 2012 - 11:20:40 AM

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lagstruct3.pdf
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• HAL Id : inria-00164603, version 1

### Citation

Jean-David Benamou. Remarks on the Lagrangian stucture of the Eikonal Equation and its impact on Eulerian numerics. [Research Report] RR-6249, INRIA. 2007, pp.36. ⟨inria-00164603⟩

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