3 citations · 4 across the 2 of their papers we have counts for
3 papers
The Stokes problem with Navier slip boundary condition: Minimal fractional Sobolev regularity of the domain
Harbir Antil, Ricardo H. Nochetto, Patrick Sodre
We prove well-posedness in reflexive Sobolev spaces of weak solutions to the stationary Stokes problem with Navier slip boundary condition over bounded domains of $\mathbb{R}^n…
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…
Optimal Control of a Free Boundary Problem: Analysis with Second Order Sufficient Conditions
Harbir Antil, Ricardo H. Nochetto, Patrick Sodré
We consider a PDE-constrained optimization problem governed by a free boundary problem. The state system is based on coupling the Laplace equation in the bulk with a Young-Laplace…