Error estimates for approximation schemes of effective Hamiltonians arising in stochastic homogenization of Hamilton-Jacobi equations (Q342883)

The paper deals with a numerical scheme for effective Hamiltonians which arises in the homogenization of first-order Hamilton-Jacobi equations in stationary ergodic settings. This work is motivated by front propagation problems, but the results that we obtain here can be generalized to other types of Hamiltonians. The author presents a finite volume scheme for the efective Hamiltonian and proves error estimates concerning the rate of convergence of the approximated solution to the exact one. No numerical examples are presented.