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math.NA2026
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…
math.NA2026
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,…