We study approximation schemes for the cell problem arising in homogenization of Hamilton-Jacobi equations. We prove several error estimates concerning the rate of convergence of the approximation scheme to the effective Hamiltonian, both in the optimal control setting and as well as in the calculus of variations setting. © 2007 Springer Science+Business Media, LLC.
Error estimates for the approximation of the effective hamiltonian
CAMILLI, FABIO;
2008-01-01
Abstract
We study approximation schemes for the cell problem arising in homogenization of Hamilton-Jacobi equations. We prove several error estimates concerning the rate of convergence of the approximation scheme to the effective Hamiltonian, both in the optimal control setting and as well as in the calculus of variations setting. © 2007 Springer Science+Business Media, LLC.File in questo prodotto:
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