1 citations · 1 across the 4 of their papers we have counts for
4 papers
Optimal control of fractional diffusion with Dirac measures
Enrique Otarola, Abner J. Salgado
We study a PDE-constrained optimization problem for an elliptic equation with the spectral fractional Laplacian and a linear combination of Dirac measures as the forcing term; the…
Approximation of higher-order powers of the spectral fractional Laplacian via polyharmonic extension
Enrique Otárola, Abner J. Salgado
We use the polyharmonic extension approach to develop a numerical technique for discretizing higher-order powers of the spectral fractional Laplacian with .
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…