Error estimates for the approximation of the effective hamiltonian

Fabio Camilli; Italo Capuzzo Dolcetta; Diogo A. Gomes

doi:10.1007/s00245-007-9006-9

Error estimates for the approximation of the effective hamiltonian

Fabio Camilli^*, Italo Capuzzo Dolcetta, Diogo A. Gomes

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

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.

Original language	English (US)
Pages (from-to)	30-57
Number of pages	28
Journal	Applied Mathematics and Optimization
Volume	57
Issue number	1
DOIs	https://doi.org/10.1007/s00245-007-9006-9
State	Published - Feb 2008
Externally published	Yes

Keywords

Effective Hamiltonian
Error estimates
Homogenization

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1007/s00245-007-9006-9

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title = "Error estimates for the approximation of the effective hamiltonian",

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.",

keywords = "Effective Hamiltonian, Error estimates, Homogenization",

author = "Fabio Camilli and {Capuzzo Dolcetta}, Italo and Gomes, {Diogo A.}",

year = "2008",

month = feb,

doi = "10.1007/s00245-007-9006-9",

language = "English (US)",

volume = "57",

pages = "30--57",

journal = "Applied Mathematics and Optimization",

issn = "0095-4616",

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T1 - Error estimates for the approximation of the effective hamiltonian

AU - Camilli, Fabio

AU - Capuzzo Dolcetta, Italo

AU - Gomes, Diogo A.

PY - 2008/2

Y1 - 2008/2

N2 - 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.

AB - 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.

KW - Effective Hamiltonian

KW - Error estimates

KW - Homogenization

UR - http://www.scopus.com/inward/record.url?scp=38849179353&partnerID=8YFLogxK

U2 - 10.1007/s00245-007-9006-9

DO - 10.1007/s00245-007-9006-9

M3 - Article

AN - SCOPUS:38849179353

SN - 0095-4616

VL - 57

SP - 30

EP - 57

JO - Applied Mathematics and Optimization

JF - Applied Mathematics and Optimization

IS - 1

ER -

Error estimates for the approximation of the effective hamiltonian

Abstract

Keywords

ASJC Scopus subject areas

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