Finite element approximations of the three dimensional Monge-Ampère equation (Q2838573)

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scientific article; zbMATH DE number 6185793
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Finite element approximations of the three dimensional Monge-Ampère equation
scientific article; zbMATH DE number 6185793

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    Finite element approximations of the three dimensional Monge-Ampère equation (English)
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    10 July 2013
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    finite element
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    Monge-Ampère equation
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    Lagrange finite element space
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    well-posedness
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    numerical results
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    The paper studies finite element methods for the three-dimensional Monge-Ampère equation. The authors derive methods using the Lagrange finite element space such that the resulting discrete linearizations are symmetric and stable. The well-posedness of the problem is proved. Numerical results are also discussed.
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