2 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
The Darcy problem with porosity depending exponentially on the pressure
Zerihun Kinfe Birhanu, Tadele Mengesha, Abner J. Salgado
We consider the flow of a viscous incompressible fluid through a porous medium. We allow the permeability of the medium to depend exponentially on the pressure and provide an analy…
Estimation of the continuity constants for Bogovski\uı and regularized Poincaré integral operators
Johnny Guzman, Abner J. Salgado
We study the dependence of the continuity constants for the regularized Poincaré and Bogovski\uı integral operators acting on differential forms defined on a domain of $\mathbb…
Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
We develop a theoretical foundation for the application of Nesterov's accelerated gradient descent method (AGD) to the approximation of solutions of a wide class of partial differe…
The stationary Boussinesq problem under singular forcing
Alejandro Allendes, Enrique Otarola, Abner J. Salgado
In Lipschitz two and three dimensional domains, we study the existence for the so--called Boussinesq model of thermally driven convection under singular forcing. By singular we mea…