Spline element method for the Monge-Ampere equation
Numerical Analysis
2015-03-17 v2
Abstract
We analyze the convergence of an iterative method for solving the nonlinear system resulting from a natural discretization of the Monge-Amp\`ere equation with conforming approximations. We make the assumption, supported by numerical experiments for the two dimensional problem, that the discrete problem has a convex solution. The method we analyze is the discrete version of Newton's method in the vanishing moment methodology. Numerical experiments are given in the framework of the spline element method.
Cite
@article{arxiv.1012.1775,
title = {Spline element method for the Monge-Ampere equation},
author = {Gerard Awanou},
journal= {arXiv preprint arXiv:1012.1775},
year = {2015}
}