48 citations · 252 across the 96 of their papers we have counts for
6 papers · 1 filter
Fractional Elliptic Quasi-Variational Inequalities: Theory and Numerics
Harbir Antil, Carlos N. Rautenberg
This paper introduces an elliptic quasi-variational inequality (QVI) problem class with fractional diffusion of order , studies existence and uniqueness of solutions a…
Optimal control of fractional semilinear PDEs
Harbir Antil, Mahamadi Warma
In this paper we consider the optimal control of semilinear fractional PDEs with both spectral and integral fractional diffusion operators of order with . We firs…
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…
Spectral approximation of fractional PDEs in image processing and phase field modeling
Harbir Antil, Sören Bartels
Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties. Particular examples are image processing and phase fi…
Fractional Operators with Inhomogeneous Boundary Conditions: Analysis, Control, and Discretization
Harbir Antil, Johannes Pfefferer, Sergejs Rogovs
In this paper we introduce new characterizations of spectral fractional Laplacian to incorporate nonhomogeneous Dirichlet and Neumann boundary conditions. The classical cases with…
Optimal control of the coefficient for fractional and regional fractional {}-{L}aplace equations: Approximation and convergence
Harbir Antil, Mahamadi Warma
In this paper we study optimal control problems with either fractional or regional fractional -Laplace equation, of order and , as constraints over a bounde…