@article{9ed1c4ffb56e4e2aa015e1d3bc34dfc6,
title = "An optimal L1-minimization algorithm for stationary Hamilton-Jacobi equations",
abstract = "We describe an algorithm for solving steady one-dimensional convex-like Hamilton-Jacobi equations using a L1-minimization technique on piecewise linear approximations. For a large class of convex Hamiltonians, the algorithm is proven to be convergent and of optimal complexity whenever the viscosity solution is q-semiconcave. Numerical results are presented to illustrate the performance of the method.",
author = "Jean-Luc Guermond and Bojan Popov",
note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: This material is based upon work supported by the National Science Foundation grant DMS-0510650.This publication is based on work supported by Award No. KUS-C1-016-04, made by King AbdullahUniversity of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",
year = "2009",
doi = "10.4310/cms.2009.v7.n1.a11",
language = "English (US)",
volume = "7",
pages = "211--238",
journal = "Communications in Mathematical Sciences",
issn = "1539-6746",
publisher = "International Press of Boston, Inc.",
number = "1",
}