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Error estimates for the approximation of the effective Hamiltonian
Journal article   Peer reviewed

Error estimates for the approximation of the effective Hamiltonian

Fabio Camilli, Italo Capuzzo Dolcetta and Diogo A. Gomes
Applied mathematics & optimization, Vol.57(1), pp.30-57
01/02/2008
DOI: https://doi.org/10.1007/s00245-007-9006-9

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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