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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.
@article{M2AN_2002__36_5_883_0,
author = {Benamou, Jean-David and Hoch, Philippe},
title = {GO++ : a modular lagrangian/eulerian software for {Hamilton} {Jacobi} equations of geometric optics type},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {883--905},
publisher = {EDP-Sciences},
volume = {36},
number = {5},
year = {2002},
doi = {10.1051/m2an:2002037},
mrnumber = {1955540},
zbl = {1023.78001},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002037/}
}
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 PY - 2002 SP - 883 EP - 905 VL - 36 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002037/ DO - 10.1051/m2an:2002037 LA - en ID - M2AN_2002__36_5_883_0 ER -
%0 Journal Article %A Benamou, Jean-David %A Hoch, Philippe %T GO++ : a modular lagrangian/eulerian software for Hamilton Jacobi equations of geometric optics type %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2002 %P 883-905 %V 36 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002037/ %R 10.1051/m2an:2002037 %G en %F M2AN_2002__36_5_883_0
Benamou, Jean-David; Hoch, Philippe. GO++ : a modular lagrangian/eulerian software for Hamilton Jacobi equations of geometric optics type. ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Programming, Tome 36 (2002) no. 5, pp. 883-905. doi: 10.1051/m2an:2002037
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