145 citations · 609 across the 61 of their papers we have counts for
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Optimizing the Kelvin force in a moving target subdomain
Harbir Antil, Ricardo H. Nochetto, Pablo Venegas
In order to generate a desired Kelvin (magnetic) force in a target subdomain moving along a prescribed trajectory, we propose a minimization problem with a tracking type cost funct…
On p-Robust Saturation for hp-AFEM
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1
We consider the standard adaptive finite element loop SOLVE, ESTIMATE, MARK, REFINE, with ESTIMATE being implemented using the -robust equilibrated flux estimator, and MARK bein…
Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation
Ricardo H. Nochetto, Wujun Zhang
We study the Oliker-Prussner method exploiting its geometric nature. We derive discrete stability and continuous dependence estimates in the max-norm by using a discrete Alexandrof…
A diffuse interface model for two-phase ferrofluid flows
Ricardo H. Nochetto, Abner J. Salgado, Ignacio Tomas
We develop a model describing the behavior of two-phase ferrofluid flows using phase field-techniques and present an energy-stable numerical scheme for it. For a simplified, yet ph…
A finite element method for nematic liquid crystals with variable degree of orientation
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
We consider the simplest one-constant model, put forward by J. Ericksen, for nematic liquid crystals with variable degree of orientation. The equilibrium state is described by a di…