Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Mateos, Mariano"'
This paper studies an optimal control problem governed by a semilinear elliptic equation, in which the control acts in a multiplicative or bilinear way as the reaction coefficient of the equation. We focus on the numerical discretization of the probl
Externí odkaz:
http://arxiv.org/abs/2404.05658
The article examines a linear-quadratic Neumann control problem that is governed by a non-coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-state operator, it is necessary to independently study both the state an
Externí odkaz:
http://arxiv.org/abs/2403.12551
Publikováno v:
IEEE Control Systems Letters, 7 (2023) 3549--3554
We study a control-constrained optimal control problem governed by a semilinear elliptic equation. The control acts in a bilinear way on the boundary, and can be interpreted as a heat transfer coefficient. A detailed study of the state equation is pe
Externí odkaz:
http://arxiv.org/abs/2403.01135
We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the
Externí odkaz:
http://arxiv.org/abs/2401.17621
In this paper, we carry out the analysis of the semismooth Newton method for bilinear control problems related to semilinear elliptic PDEs. We prove existence, uniqueness and regularity for the solution of the state equation, as well as differentiabi
Externí odkaz:
http://arxiv.org/abs/2309.07554
Autor:
Rodríguez-Mateos, Mariano1 (AUTHOR) mrodriguezm@unav.es, Carlos, Silvia2,3 (AUTHOR) scarlos@unav.es, Jaso, Javier1 (AUTHOR) jjaso@alumni.unav.es, Holguín, África4 (AUTHOR) africa.holguin@salud.madrid.org, Reina, Gabriel1,2,3 (AUTHOR) scarlos@unav.es
Publikováno v:
Diagnostics (2075-4418). Oct2024, Vol. 14 Issue 19, p2195. 12p.
Publikováno v:
Computer Methods in Applied Mechanics and Engineering, 2023
In [ESAIM: M2AN, 54(2020), 2229-2264], we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optimal convergence rate for the optimal control {that reflects its global
Externí odkaz:
http://arxiv.org/abs/2203.04589
In this paper we study optimal control problems governed by a semilinear elliptic equation. The equation is nonmonotone due to the presence of a convection term, despite the monotonocity of the nonlinear term. The resulting operator is neither monoto
Externí odkaz:
http://arxiv.org/abs/1905.13493
Autor:
Casas, Eduardo, Mateos, Mariano
Publikováno v:
SIAM J. Optim. 30-1 (2020), pp. 585-603
In this paper, we analyze optimal control problems governed by semilinear parabolic equations. Box constraints for the controls are imposed and the cost functional involves the state and possibly a sparsity-promoting term, but not a Tikhonov regulari
Externí odkaz:
http://arxiv.org/abs/1905.05422
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 15 February 2023 405