On the numerical approximation of first-order Hamilton-Jacobi equations
International Journal of Applied Mathematics and Computer Science (2007)
- Volume: 17, Issue: 3, page 403-412
- ISSN: 1641-876X
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topAbgrall, Rémi, and Perrier, Vincent. "On the numerical approximation of first-order Hamilton-Jacobi equations." International Journal of Applied Mathematics and Computer Science 17.3 (2007): 403-412. <http://eudml.org/doc/207846>.
@article{Abgrall2007,
abstract = {Some methods for the numerical approximation of time-dependent and steady first-order Hamilton-Jacobi equations are reviewed. Most of the discussion focuses on conformal triangular-type meshes, but we show how to extend this to the most general meshes. We review some first-order monotone schemes and also high-order ones specially dedicated to steady problems.},
author = {Abgrall, Rémi, Perrier, Vincent},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Cauchy-Dirichlet problem; viscous solution; triangular mesh; approximation of Hamilton-Jacobi equations; discontinuous Galerkin method; Godunov scheme; numerical examples; Dirichlet problem; Cauchy problem},
language = {eng},
number = {3},
pages = {403-412},
title = {On the numerical approximation of first-order Hamilton-Jacobi equations},
url = {http://eudml.org/doc/207846},
volume = {17},
year = {2007},
}
TY - JOUR
AU - Abgrall, Rémi
AU - Perrier, Vincent
TI - On the numerical approximation of first-order Hamilton-Jacobi equations
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 3
SP - 403
EP - 412
AB - Some methods for the numerical approximation of time-dependent and steady first-order Hamilton-Jacobi equations are reviewed. Most of the discussion focuses on conformal triangular-type meshes, but we show how to extend this to the most general meshes. We review some first-order monotone schemes and also high-order ones specially dedicated to steady problems.
LA - eng
KW - Cauchy-Dirichlet problem; viscous solution; triangular mesh; approximation of Hamilton-Jacobi equations; discontinuous Galerkin method; Godunov scheme; numerical examples; Dirichlet problem; Cauchy problem
UR - http://eudml.org/doc/207846
ER -
References
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