Olivier Bokanowski
Value iteration convergence of ?-monotone schemes for stationary Hamilton-Jacobi equations
Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Gr�ne, Lars; Kalise, Dante; Zidani, Hasnaa
Authors
Maurizio Falcone
Roberto Ferretti
Lars Gr�ne
Dante Kalise
Hasnaa Zidani
Abstract
We present an abstract convergence result for the fixed point approximation of stationary Hamilton-Jacobi equations. The basic assumptions on the discrete operator are invariance with respect to the addition of constants, ?-monotonicity and consistency. The result can be applied to various high-order approximation schemes which are illustrated in the paper. Several applications to Hamilton-Jacobi equations and numerical tests are presented.
Citation
Bokanowski, O., Falcone, M., Ferretti, R., Grüne, L., Kalise, D., & Zidani, H. (2015). Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations. Discrete and Continuous Dynamical Systems - Series A, 35(9), 4041-4070. https://doi.org/10.3934/dcds.2015.35.4041
Journal Article Type | Article |
---|---|
Acceptance Date | Oct 15, 2014 |
Online Publication Date | Sep 1, 2015 |
Publication Date | Sep 1, 2015 |
Deposit Date | Nov 12, 2019 |
Publicly Available Date | Mar 29, 2024 |
Journal | Discrete and Continuous Dynamical Systems- Series A |
Print ISSN | 1078-0947 |
Electronic ISSN | 1553-5231 |
Publisher | American Institute of Mathematical Sciences |
Peer Reviewed | Peer Reviewed |
Volume | 35 |
Issue | 9 |
Pages | 4041-4070 |
DOI | https://doi.org/10.3934/dcds.2015.35.4041 |
Public URL | https://nottingham-repository.worktribe.com/output/3220572 |
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