2 citations · 4 across the 6 of their papers we have counts for
6 papers
Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints
Harbir Antil, Thomas S. Brown, Deepanshu Verma
Recently the authors have studied a state and control constrained optimal control problem with fractional elliptic PDE as constraints. The goal of this paper is to continue that pr…
Revisiting Calderon's Problem
Rainald Löhner, Harbir Antil
A finite element code for heat conduction, together with an adjoint solver and a suite of optimization tools was applied for the solution of Calderon's problem. One of the question…
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
Harbir Antil, Umberto Biccari, Rodrigo Ponce +2
We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator…
Convergence of solutions of discrete semi-linear space-time fractional evolution equations
Harbir Antil, Carlos Lizama, Rodrigo Ponce +1
Let be the realization of the fractional Laplace operator on the space of continuous functions , and let denote the discrete fractional Lapla…
Optimal Control Of Surface Shape
Harbir Antil, Shawn W. Walker
Controlling the shapes of surfaces provides a novel way to direct self-assembly of colloidal particles on those surfaces and may be useful for material design. This motivates the i…
A FEM for an optimal control problem of fractional powers of elliptic operators
Harbir Antil, Enrique Otarola
We study solution techniques for a linear-quadratic optimal control problem involving fractional powers of elliptic operators. These fractional operators can be realized as the Dir…