We study approximation strategies for the limit problem arising in the homogenization of Hamilton-Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton-Jacobi equation with the approximate effective Hamiltonian. We give a global error estimate which takes into account all the parameters involved in the approximation.
Homogenization of Hamilton-Jacobi equations: Numerical Methods
CAMILLI, FABIO;
2008-01-01
Abstract
We study approximation strategies for the limit problem arising in the homogenization of Hamilton-Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton-Jacobi equation with the approximate effective Hamiltonian. We give a global error estimate which takes into account all the parameters involved in the approximation.File in questo prodotto:
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