48 citations · 252 across the 96 of their papers we have counts for
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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…
Some applications of weighted norm inequalities to the error analysis of PDE constrained optimization problems
Harbir Antil, Enrique Otarola, Abner J. Salgado
The purpose of this work is to illustrate how the theory of Muckenhoupt weights, Muckenhoupt weighted Sobolev spaces and the corresponding weighted norm inequalities can be used in…
Galerkin v. least-squares Petrov--Galerkin projection in nonlinear model reduction
Kevin Carlberg, Matthew Barone, Harbir Antil
Least-squares Petrov--Galerkin (LSPG) model-reduction techniques such as the Gauss--Newton with Approximated Tensors (GNAT) method have shown promise, as they have generated stable…
A fractional space-time optimal control problem: analysis and discretization\
Harbir Antil, Enrique Otarola, Abner J. Salgado
We study a linear-quadratic optimal control problem involving a parabolic equation with fractional diffusion and Caputo fractional time derivative of orders and $γ\in…