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Quadratic mixed finite element approximations of the Monge–Ampère equation in 2D

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An Erratum to this article was published on 11 April 2016

Abstract

We give error estimates for a mixed finite element approximation of the two-dimensional elliptic Monge–Ampère equation with the unknowns approximated by Lagrange finite elements of degree two. The variables in the formulation are the scalar variable and the Hessian matrix.

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Acknowledgments

The author was partially supported by a Division of Mathematical Sciences of the US National Science Foundation grant No. 1319640.

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Authors and Affiliations

  1. Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, Chicago, IL, 60607-7045, USA

    Gerard Awanou

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  1. Gerard Awanou
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Correspondence to Gerard Awanou.

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Awanou, G. Quadratic mixed finite element approximations of the Monge–Ampère equation in 2D. Calcolo 52, 503–518 (2015). https://doi.org/10.1007/s10092-014-0127-7

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  • DOI: https://doi.org/10.1007/s10092-014-0127-7

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