Standard finite elements for the numerical resolution of the elliptic Monge-Ampere equation: mixed methods

Abstract

We prove a convergence result for a mixed finite element method for the Monge-Ampere equation to its weak solution in the sense of Aleksandrov. The unknowns in the formulation are the scalar variable and the Hessian matrix.

arXiv admin note: text overlap with arXiv:1310.4568

References in corpus (2)

• A finite element method for fully nonlinear elliptic problems
• On standard finite difference discretizations of the elliptic Monge-Ampere equation