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https://dx.doi.org/10.1137/090...
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A Discontinuous Galerkin Solver for Front Propagation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011 France English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Scientific Computing, volume 33, pages 923-938 (issn: 1064-8275, eissn: 1095-7197, Copyright policy )Funded by:NSF | Efficient High Order Nume...
Authors: Olivier Bokanowski; Yingda Cheng; Chi-Wang Shu;

doi: 10.1137/090771909

A Discontinuous Galerkin Solver for Front Propagation

Abstract

We propose a new discontinuous Galerkin (DG) method based on [Cheng and Shu, JCP, 2007] to solve a class of Hamilton-Jacobi equations that arises from optimal control problems. These equations are connected to front propagation problems or minimal time problems with non isotropic dynamics. Several numerical experiments show the relevance of our method, in particular for front propagation.

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Keywords

[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], 510

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Top 10%
Green
bronze
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