A Parallel semi-Lagrangian Approximation of the Effective Hamiltonian

Maurizio Falcone, Marco Rorro

Abstract


We study an approximation scheme for the effective Hamiltonian, the scheme is based on a semi-Lagrangian approximation of the so called cell problem. Such problem arise f.e. from homogenization. The scheme computes the value of the effective Hamiltonian and, at the same time, a maximal viscosity solution of the cell problem. Since the numerical computation is heavy, we propose a parallel algorithm based on a domain decomposition of the cell problem. Two dimensional experiments will be shown. [DOI: 10.1685/CSC06074] About DOI

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DOI: http://dx.doi.org/10.1685/




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