English

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

Numerical Analysis 2015-07-31 v3

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.

Keywords

Cite

@article{arxiv.1406.5666,
  title  = {Standard finite elements for the numerical resolution of the elliptic Monge-Ampere equation: mixed methods},
  author = {Gerard Awanou},
  journal= {arXiv preprint arXiv:1406.5666},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1310.4568