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Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations

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Date
2016
Dewey
Analyse
Sujet
Hamilton-Jacobi equation; Front propagation; Homogenization in random media; Homogenization in periodic media; Effective Hamiltonian; Error estimate; Viscosity solution
Journal issue
Numerical Algorithms
Volume
73
Number
3
Publication date
2016
Article pages
839-868
Publisher
Baltzer
DOI
http://dx.doi.org/10.1007/s11075-016-0120-0
URI
https://basepub.dauphine.fr/handle/123456789/16356
Collections
  • CEREMADE : Publications
Metadata
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Author
Hajej, Ahmed
Type
Article accepté pour publication ou publié
Abstract (EN)
We study approximation schemes for effective Hamiltonians arising in the homogenization of first order Hamilton-Jacobi equations in stationary ergodic settings. In particular, we prove error estimates concerning the rate of convergence of the approximated solution to the effective Hamiltonian. Our main motivations are front propagation problems, but our results can be generalized to other types of Hamiltonians.

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