Abstract | ||
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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 Zhu | 1 | 2 | 0.47 |
Shuzi Zhou | 2 | 53 | 7.19 |