48 citations · 252 across the 96 of their papers we have counts for
4 papers · 1 filter
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
Harbir Antil, Enrique Otarola, Abner J. Salgado
We consider an identification problem, where the state is governed by a fractional elliptic equation and the unknown variable corresponds to the order of the unde…
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…
A note on semilinear fractional elliptic equation: analysis and discretization
Harbir Antil, Johannes Pfefferer, Mahamadi Warma
In this paper we study existence, regularity, and approximation of solution to a fractional semilinear elliptic equation of order . We identify minimal conditions on t…
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian
Harbir Antil, Enrique Otarola
In a previous work, we introduced a discretization scheme for a constrained optimal control problem involving the fractional Laplacian. For such a control problem, we derived optim…