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An efficient data structure to solve front propagation problems
Abstract : In this paper we develop a general efficient sparse storage technique suitable to coding front evolutions in d>= 2 space dimensions. This technique is mainly applied here to deal with deterministic target problems with constraints, and solve the associated minimal time problems. To this end we consider an Hamilton-Jacobi-Bellman equation and use an adapted anti-diffusive Ultra-Bee scheme. We obtain a general method which is faster than a full storage technique. We show that we can compute problems that are out of reach by full storage techniques (because of memory). Numerical experiments are provided in dimension d=2,3,4.
Cited literature [31 references]
https://hal.inria.fr/inria-00273977
Contributor : Hasnaa Zidani <>
Submitted on : Thursday, October 22, 2009 - 9:44:07 PM
Last modification on : Monday, December 14, 2020 - 9:46:09 AM
Long-term archiving on: : Wednesday, September 22, 2010 - 1:41:15 PM
Contributor : Hasnaa Zidani <>
Submitted on : Thursday, October 22, 2009 - 9:44:07 PM
Last modification on : Monday, December 14, 2020 - 9:46:09 AM
Long-term archiving on: : Wednesday, September 22, 2010 - 1:41:15 PM
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