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

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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.

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Publication date Created: 21 June 2014

Publication date Updated: 2015-07-30

Article

ArXiV ID: 1406.5666

SO-VID: e5bc9728-d228-43d5-a89b-1612cb408559

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Comments arXiv admin note: text overlap with arXiv:1310.4568

Categories math.NA

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

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