Standard Finite Elements for the Numerical Resolution of the Elliptic Monge-ampère Equation: Mixed Methods
نویسنده
چکیده
We prove a convergence result for a mixed finite element method for the Monge-Ampère equation to its weak solution in the sense of Aleksandrov. The unknowns in the formulation are the scalar variable and the Hessian matrix.
منابع مشابه
Quadratic Mixed Finite Element Approximations of the Monge-ampère Equation in 2d
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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