48 citations · 252 across the 96 of their papers we have counts for
4 papers · 1 filter
Approximation of elliptic equations with BMO coefficients
Harbir Antil, Abner J. Salgado
We study solution techniques for elliptic equations in divergence form, where the coefficients are only of bounded mean oscillation (BMO). For and a right hand…
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…
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis
Harbir Antil, Ricardo H. Nochetto, Patrick Sodré
We present a finite element method along with its analysis for the optimal control of a model free boundary problem with surface tension effects, formulated and studied in \cite{HA…