$L^1$-Approximation of Stationary HamiltonJacobi Equations
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We describe a nonlincar finite element technique to approximate the solutions of stationary Hamilton-Jacobi equations in two space dimcnsions using continuous finite elements of arbitrary degree. The method consists of minimizing a functional containing the L1-norm of the Hamiltonian plus a discrete entropy. It is shown that the approximatc sequence converges to the unique viscosity solution under appropriate hypotheses on the Hamiltonian and the mesh family. © 2008 Society for Industrial and Applied Mathematics.
author list (cited authors)
Guermond, J., & Popov, B.