GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type

Jean-David Benamou; Philippe Hoch

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 36, Issue: 5, page 883-905
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Benamou, Jean-David, and Hoch, Philippe. "GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type." ESAIM: Mathematical Modelling and Numerical Analysis 36.5 (2010): 883-905. <http://eudml.org/doc/194131>.

@article{Benamou2010,
abstract = { 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. },
author = {Benamou, Jean-David, Hoch, Philippe},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Hamilton–Jacobi; Hamiltonian system; ray tracing; viscosity solution; upwind scheme; geometric optics; C++.; Hamilton-Jacobi equations; ray tracing; C++},
language = {eng},
month = {3},
number = {5},
pages = {883-905},
publisher = {EDP Sciences},
title = {GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type},
url = {http://eudml.org/doc/194131},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Benamou, Jean-David
AU - Hoch, Philippe
TI - GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 5
SP - 883
EP - 905
AB - 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.
LA - eng
KW - Hamilton–Jacobi; Hamiltonian system; ray tracing; viscosity solution; upwind scheme; geometric optics; C++.; Hamilton-Jacobi equations; ray tracing; C++
UR - http://eudml.org/doc/194131
ER -

References

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