%0 Journal Article %T Standard finite elements for the numerical resolution of the elliptic Monge-Ampere equation: classical solutions %A Gerard Awanou %J Mathematics %D 2013 %I arXiv %X We propose a new variational formulation of the elliptic Monge-Ampere equation and show how classical Lagrange elements can be used for the numerical resolution of classical solutions of the equation. Error estimates are given for Lagrange elements of degree d >= 2 in dimensions 2 and 3. No jump term is used in the variational formulation. We propose to solve the discrete nonlinear system of equations by a time marching method and numerical evidence is given which indicates that one approximates weak solutions in two dimensions. %U http://arxiv.org/abs/1310.4576v2