Research Activities > Programs >
High Frequency Wave Propagation 2005
>
Jean-David Benamou
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CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions
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 A Semi-Lagrangian Numerical Method for Geometric Optics Type Problems
Jean-David Benamou
INRIA, France
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Abstract: We
propose an intermediate 'Semi-Lagrangian'
formulation of Geometric Optics type problems which
stands between the classical 'Lagrangian'
Hamiltonian systems and its 'Eulerian'
Hamilton-Jacobi Partial Differential Equations
counterpart. The goal is to design a numerical
method which takes the best of both world in order
to compute numerically the so called 'multi-valued'
solution. We present a numerical algorithm in the
'paraxial' 2-D case, discuss its limitation and its
possible extension to higher dimensions.
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