145 citations · 609 across the 61 of their papers we have counts for
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Unconditional stability of semi-implicit discretizations of singular flows
Sören Bartels, Lars Diening, Ricardo H. Nochetto
A popular and efficient discretization of evolutions involving the singular -Laplace operator is based on a factorization of the differential operator into a linear part which i…
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…
Tensor FEM for spectral fractional diffusion
Lehel Banjai, Jens M. Melenk, Ricardo H. Nochetto +3
We design and analyze several Finite Element Methods (FEMs) applied to the Caffarelli-Silvestre extension that localizes the fractional powers of symmetric, coercive, linear ellipt…
Numerical Methods for Fractional Diffusion
Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto +2
We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first method is a PDE approa…
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…
Controlling the Kelvin Force: Basic Strategies and Applications to Magnetic Drug Targeting
Harbir Antil, Ricardo H. Nochetto, Pablo Venegas
Motivated by problems arising in magnetic drug targeting, we propose to generate an almost constant Kelvin (magnetic) force in a target subdomain, moving along a prescribed traject…
Modeling and simulation of thermally actuated bilayer plates
Soeren Bartels, Andrea Bonito, Anastasia Muliana +1
We present a mathematical model of polymer bilayers that undergo large bending deformations when actuated by non-mechanical stimuli such as thermal effects. The simple model captur…