1 citations · 1 across the 5 of their papers we have counts for
5 papers
Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes
Tadele Mengesha, Enrique Otarola, Abner J. Salgado
We prove the well posedness in weighted Sobolev spaces of certain linear and nonlinear elliptic boundary value problems posed on convex domains and under singular forcing. It is as…
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…
A pointwise tracking optimal control problem for the stationary Navier--Stokes equations
Francisco Fuica, Enrique Otárola
We study a pointwise tracking optimal control problem for the stationary Navier--Stokes equations; control constraints are also considered. The problem entails the minimization of…
Darcy's problem coupled with the heat equation under singular forcing: analysis and discretization
A. Allendes, G. Campaña, F. Fuica +1
We study the existence of solutions for Darcy's problem coupled with the heat equation under singular forcing; the right-hand side of the heat equation corresponds to a Dirac measu…
A FEM for an optimal control problem of fractional powers of elliptic operators
Harbir Antil, Enrique Otarola
We study solution techniques for a linear-quadratic optimal control problem involving fractional powers of elliptic operators. These fractional operators can be realized as the Dir…