@Article{IJNAM-11-745,
author = {G. Awanou and H. Li},
title = {Error Analysis of a Mixed Finite Element Method for the Monge-Ampère Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {4},
pages = {745--761},
abstract = {<p style="text-align: justify;">We analyze the convergence of a mixed finite element method for the elliptic Monge-Ampère &nbsp;equation in dimensions 2 and 3. The unknowns in the formulation, the scalar variable and
a discrete Hessian, are approximated by Lagrange finite element spaces. The method originally
proposed by Lakkis and Pryer can be viewed as the formal limit of a Hermann-Miyoshi mixed
method proposed by Feng and Neilan in the context of the vanishing moment methodology. Error
estimates are derived under the assumption that the continuous problem has a smooth solution.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/550.html}
}