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Abstract: Borrowing from techniques developed for conservation law equations, numerical schemes which discretize the Hamilton-Jacobi (H-J), level set, and Eikonal equations on triangulated domains are presented. The first scheme is a provably monotone discretization for certain forms of the H-J equations. Unfortunately, the basic scheme lacks proper Lipschitz continuity of the numerical Hamiltonian. By employing a "virtual" edge ipping technique, Lipschitz continuity of the numerical flux is restored on... (Update)
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BibTeX entry: (Update)
Barth T., and Sethian, J.A., Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated Domains, submitted for publication, J. Comp. Phys., 1997. http://citeseer.ist.psu.edu/barth97numerical.html More
@misc{ barth97numerical,
author = "T. Barth and J. Sethian",
title = "Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated
Domains",
note = "submitted for publication, J. Comp. Phys., 1997.",
year = "1997",
url = "citeseer.ist.psu.edu/barth97numerical.html" }
Citations (may not include all citations):
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