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math.OC2023
Fractional, semilinear, and sparse optimal control: a priori error bounds
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
In this work, we use the integral definition of the fractional Laplace operator and study a sparse optimal control problem involving a fractional, semilinear, and elliptic partial…
math.NA2023
Numerical discretizations of a convective Brinkman-Forchheimer model under singular forcing
Alejandro Allendes, Gilberto Campaña, Enrique Otarola
In two-dimensional Lipschitz domains, we analyze a Brinkman--Darcy--Forchheimer problem on the weighted spaces , where belongs t…
math.NA2023
Bilinear optimal control for the fractional Laplacian: analysis and discretization
Francisco Bersetche, Francisco Fuica, Enrique Otarola +1
We adopt the integral definition of the fractional Laplace operator and study an optimal control problem on Lipschitz domains that involves a fractional elliptic partial differenti…