Abner J. Salgado

most citedPointwise gradient estimate of the ritz projection

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2023

The linear elasticity system under singular forces

Alejandro Allendes, Gilberto Campaña, Enrique Otárola +1

We study the linear elasticity system subject to singular forces. We show existence and uniqueness of solutions in two frameworks: weighted Sobolev spaces, where the weight belongs…

math.NA2023★ 1 cited

Pointwise gradient estimate of the ritz projection

Lars Diening, Julian Rolfes, Abner J. Salgado

Let $Ω \subset R^{n}$ be a convex polytope ( $n \leq 3$ ). The Ritz projection is the best approximation, in the $W_{0}^{1, 2}$ -norm, to a given function in a finite element space…

math.OC2023

On the Optimal Control of a Linear Peridynamics Model

Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar

We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our problem, we investigate…