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; CAPUZZO DOLCETTA, Italo; Diogo A., Gomes. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - STAMPA. - 57:1(2008), pp. 30-57. [10.1007/s00245-007-9006-9]

Error estimates for the approximation of the effective hamiltonian

CAMILLI, FABIO;CAPUZZO DOLCETTA, Italo;
2008

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.
2008
effective hamiltonian; error estimates; homogenization
01 Pubblicazione su rivista::01a Articolo in rivista
Error estimates for the approximation of the effective hamiltonian / Camilli, Fabio; CAPUZZO DOLCETTA, Italo; Diogo A., Gomes. - In: APPLIED MATHEMATICS AND OPTIMIZATION. - ISSN 0095-4616. - STAMPA. - 57:1(2008), pp. 30-57. [10.1007/s00245-007-9006-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/229591
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