no. 5
GO++ : a modular lagrangian/eulerian software for Hamilton Jacobi equations of geometric optics type
ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 5, pp. 883-905.

We describe both the classical lagrangian and the Eulerian methods for first order Hamilton-Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.

DOI : 10.1051/m2an:2002037
Classification : 78A05, 78H20
Mots clés : Hamilton-Jacobi, hamiltonian system, ray tracing, viscosity solution, upwind scheme, geometric optics, C++ 
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     title = {GO++ : a modular lagrangian/eulerian software for {Hamilton} {Jacobi} equations of geometric optics type},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Benamou, Jean-David; Hoch, Philippe. GO++ : a modular lagrangian/eulerian software for Hamilton Jacobi equations of geometric optics type. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 5, pp. 883-905. doi : 10.1051/m2an:2002037. http://www.numdam.org/articles/10.1051/m2an:2002037/

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