145 citations · 353 across the 46 of their papers we have counts for
59 papers
Finite element error estimates for a bilinear optimal control problem with pointwise tracking governed by a semilinear elliptic PDE
Enrique Otarola, Daniel Quero, Matias Sasso
We study finite element approximations for an optimal control problem with pointwise tracking governed by a semilinear elliptic PDE. The control variable enters the state equation…
A nonlocal coupled system: analysis and discretization
Francisco Bersetche, Enrique Otarola, Daniel Quero
We analyze a nonlocal coupled system arising as the Euler--Lagrange equations of an energy functional involving regional fractional Laplacians of orders and ($ 0 < s_1,…
A pointwise tracking optimal control problem for a fractional, semilinear PDE
Enrique Otarola, Abner J. Salgado
We analyze an optimal control problem with pointwise tracking for a fractional semilinear elliptic partial differential equation. The diffusion is characterized by the spectral fra…
The spectral fractional Laplacian with measure valued right hand sides: analysis and approximation
Enrique Otarola, Abner J. Salgado
We consider the spectral definition of the fractional Laplace operator and study a basic linear problem involving this operator and singular forcing. In two dimensions, we introduc…
A bilinear pointwise tracking optimal control problem for a semilinear elliptic PDE
Enrique Otarola, Daniel Quero, Matias Sasso
We consider a bilinear optimal control problem with pointwise tracking for a semilinear elliptic PDE in two and three dimensions. The control variable enters the PDE as a (reaction…
Finite element discretization of weighted -Laplace problems
Enrique Otarola, Abner J. Salgado
We study the finite element approximation of problems involving the weighted -Laplacian, where is an -function and the weight belongs to the class . In particular, w…