Convergence of a generalized fastmarching method for an eikonal equation with a velocity-changing sign
| Title: | Convergence of a generalized fastmarching method for an eikonal equation with a velocity-changing sign |
|---|---|
| Authors: | E. Carlini; M. Falcone; N. Forcadel; R. Monneau |
| Contributors: | The Pennsylvania State University CiteSeerX Archives |
| Source: | http://cermics.enpc.fr/~monneau/CFFM271207.pdf. |
| Collection: | CiteSeerX |
| Subject Terms: | Hamilton Jacobi equations; fast marching scheme; convergence; viscosity solutions |
| Description: | We present a new Fast Marching algorithm for an eikonal equation with a velocity changing sign. This first order equation models a front propagation in the normal direction. The algorithm is an extension of the Fast Marching Method in two respects. The first is that the new scheme can deal with a time-dependent velocity and the second is that there is no restriction on its change in sign. We analyze the properties of the algorithm and we prove its convergence in the class of discontinuous viscosity solutions. Finally, we present some numerical simulations of fronts propagating in R 2. AMS Classification: 65M06, 65M12, 49L25. |
| Document Type: | text |
| File Description: | application/pdf |
| Language: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.3160; http://cermics.enpc.fr/~monneau/CFFM271207.pdf |
| Availability: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.3160; http://cermics.enpc.fr/~monneau/CFFM271207.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: | edsbas.5EF617C3 |
| Database: | BASE |