Error Estimates for the Approximation of the Effective Hamiltonian

Error Estimates for the Approximation of the Effective Hamiltonian 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Error Estimates for the Approximation of the Effective Hamiltonian

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Publisher
Springer-Verlag
Copyright
Copyright © 2008 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Methods ; Mathematical Methods in Physics; Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-007-9006-9
Publisher site
See Article on Publisher Site

References

  • Convergence of approximation scheme for fully nonlinear second order equations
    Barles, G.; Souganidis, P.

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