27 citations · 111 across the 33 of their papers we have counts for
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math.NA2007★ 1 cited
Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method
Xiaobing Feng, Michael Neilan
This paper studies mixed finite element approximations of the viscosity solution to the Dirichlet problem for the fully nonlinear Monge-Ampère equation based on th…
math.NA2007★ 3 cited
Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation
Xiaobing Feng, Michael Neilan
This paper develops and analyzes finite element Galerkin and spectral Galerkin methods for approximating viscosity solutions of the fully nonlinear Monge-Ampère equation $\det(D^2u…
math.NA2007★ 20 cited
Vanishing moment method and moment solutions for second order fully nonlinear partial differential equations
Xiaobing Feng, Michael Neilan
This paper concerns with numerical approximations of solutions of second order fully nonlinear partial differential equations (PDEs). A new notion of weak solutions, called moment…