18 citations · 24 across the 4 of their papers we have counts for
5 papers
Discontinuous Galerkin Approach to Large Bending Deformation of a Bilayer Plate with Isometry Constraint
Andrea Bonito, Ricardo H. Nochetto, Dimitris Ntogkas
We present a computational model of thin elastic bilayers that undergo large bending isometric deformations when actuated by non-mechanical stimuli. We propose a discontinuous Gale…
DG Approach to Large Bending Plate Deformations with Isometry Constraint
Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas
We propose a new discontinuous Galerkin (dG) method for a geometrically nonlinear Kirchhoff plate model for large isometric bending deformations. The minimization problem is noncon…
Convergent filtered scheme for the Monge-Ampère Equation
Ricardo H. Nochetto, Dimitrios Ntogkas
We propose an extension to our monotone and convergent method for the Monge-Ampère equation in dimension , that incorporates the idea of filtered schemes. The method combi…
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…