Title
Relaxation Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
Abstract
This paper presents a relaxation Lax-Friedrichs sweeping scheme to approximate viscosity solutions of static Hamilton Jacobi equations in any number of spatial dimensions. It is a generalization of the scheme proposed in Kao et al. (J Comput Phys 196:367–391, 2004). Numerical examples suggest that the relaxation Lax-Friedrichs sweeping scheme has smaller number of iterations than the original Lax-Friedrichs sweeping scheme when the relaxation factor ω is slightly larger than one. And first order convergence is also demonstrated by numerical results. A theoretical analysis for our scheme in a special case is given.
Year
DOI
Venue
2010
10.1007/s11075-009-9337-5
Numerical Algorithms
Keywords
DocType
Volume
Static Hamilton-Jacobi equations,Fast sweeping method,Lax-Friedrichs flux,SOR iteration,65N06,35L60
Journal
54
Issue
ISSN
Citations 
3
15729265
2
PageRank 
References 
Authors
0.47
9
2
Name
Order
Citations
PageRank
Peng Zhu120.47
Shuzi Zhou2537.19