9 citations · 11 across the 6 of their papers we have counts for
7 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…
Adaptive finite element methods for the pointwise tracking optimal control problem of the Stokes equations
Alejandro Allendes, Francisco Fuica, Enrique Otárola +1
We propose and analyze a reliable and efficient a posteriori error estimator for the pointwise tracking optimal control problem of the Stokes equations. This linear-quadratic optim…
Adaptive finite element methods for sparse PDE-constrained optimization
Alejandro Allendes, Francisco Fuica, Enrique Otárola
We propose and analyze reliable and efficient a posteriori error estimators for an optimal control problem that involves a nondifferentiable cost functional, the Poisson problem as…
A PDE approach to fractional diffusion in general domains: a priori error analysis
Ricardo H. Nochetto, Enrique Otarola, Abner J. Salgado
The purpose of this work is the study of solution techniques for problems involving fractional powers of symmetric coercive elliptic operators in a bounded domain with Dirichlet bo…