Abner J. Salgado

most citedPointwise gradient estimate of the ritz projection

1 citations · 1 across the 4 of their papers we have counts for

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math.NA2024

Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling

Francis R. A. Aznaran, Martina Bukač, Boris Muha +1

We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressibl…

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…