Computing the Effective Hamiltonian using a Variational Approach

@article{Gomes2004ComputingTE,
  title={Computing the Effective Hamiltonian using a Variational Approach},
  author={Diogo A. Gomes and Adam M. Oberman},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2004},
  pages={729-733}
}
A numerical method for homogenization of Hamilton-Jacobi equations is presented and implemented as an L∞calculus of variations problem. Solutions are found by solving a nonlinear convex optimization problem. The numerical method is shown to be convergent and error estimates are provided. Several examples are worked in detail, including the cases of non-strictly convex Hamiltonians and Hamiltonians for which the cell problem has no solution. 
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