31 citations · 93 across the 12 of their papers we have counts for
4 papers · 1 filter
Rates of convergence in -norm for the Monge-Ampère equation
Michael Neilan, Wujun Zhang
We develop discrete -norm error estimates for the Oliker-Prussner method applied to the Monge-Ampère equation. This is obtained by extending discrete Alexandroff estimates a…
The Ericksen Model of Liquid Crystals with Colloidal and Electric Effects
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
We present a robust discretization of the Ericksen model of liquid crystals with variable degree of orientation coupled with colloidal effects and electric fields. The total energy…
Two-scale method for the Monge-Ampère Equation: Pointwise Error Estimates
Ricardo H. Nochetto, Dimitrios Ntogkas, Wujun Zhang
In this paper we continue the analysis of the two-scale method for the Monge-Ampère equation for dimension introduced in [10]. We prove continuous dependence of discrete…
Two-Scale Method for the Monge-Ampère Equation: Convergence to the Viscosity Solution
Ricardo H. Nochetto, Dimitrios Ntogkas, Wujun Zhang
We propose a two-scale finite element method for the Monge-Ampère equation with Dirichlet boundary condition in dimension and prove that it converges to the viscosity solut…