Departamento de Matemáticas

Publicaciones:

• Eduardo Casas; Mariano Mateos; Arnd Rösch. Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. Numerische Mathematik. (2021) DOI: 10.1007/s00211-021-01222-7
• Mariano Mateos. Sparse Dirichlet optimal control problems. Computational Optimization and Applications. 80(2) 271 - 300. (2021)
• Eduardo Casas; Mariano Mateos; State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization. Vietnam Journal of Mathematics (2021)
• Martin Gugat, Mariano Mateos, Fredi Tröltzsch. Exponential Stability for the Schlögl System by Pyragas Feedback. Vietnam Journal of Mathematics, 48(4), 769—790 (2020)
• Eduardo Casas; Mariano Mateos; Arnd Rösch. Analysis of control problems of nonmontone semilinear elliptic equations. ESAIM:COCV, 26. (2020)
• Wei Gong, Mariano Mateos, John Singler, Yangwen Zhang. Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system, 2020. ESAIM:M2AN, 54(6), 2229-2264. (2020)
• Eduardo Casas; Mariano Mateos. Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization. SIAM Journal on Optimization, 30(1), 585—603. (2020)
• T. Apel, M. Mateos, J. Pfefferer, A. Rösch: Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem, en "Advances in Finite Element Methods with Applications", Apel et al. (Eds.) pp 1-16. Lecture Notes in Computational Science and Engineering, Springer, 128, 2019
• Casas Eduardo, Mateos Mariano, Rösch Arnd, Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term, SIAM J. Control Optim. 57(4), pp. 2515–2540, 2019
• Eduardo Casas; Mariano Mateos; Fredi Tröltzsch. Optimal time delays in a class of reaction-diffusion equations. Optimization. 68(1), pp. 255-278, 2019
• Casas, Eduardo; Mateos, Mariano; Tröltzsch, Fredi. Measure control of a semilinear parabolic equation with a nonlocal time delay. SIAM J. Control Optim. 56(6), pp. 4434–4460, 2018
• Wei Gong; Weiwei Hu; Mariano Mateos; John Singler; Xiao Zhang; Yangwen Zhang. A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity. SIAM Journal on Numerical Analysis. 56/3, pp. 2262 - 2287. 2018
• Thomas Apel; Mariano Mateos; Johannes Pfefferer; Arnd Rösch. Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Mathematical Control and Related Fields. 8/1, pp. 217 - 245. 2018
• Mariano Mateos. Optimization Methods for Dirichlet Control Problems. Optimization. 67/5, pp. 585 - 617. 2018.
• Eduardo Casas; Mariano Mateos; Arnd Rösch. Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity. Computational Optimization and Applications. 70/1, pp. 239 - 266. 2018
• Eduardo Casas; Mariano Mateos; Arnd Rösch. Finite element approximation of sparse parabolic control problems. Mathematical Control and Related Fields. 7/3, pp. 393 - 417. 2017
• Eduardo Casas; Mariano Mateos. Optimal Control of Partial Differential Equations. En "Computational Mathematics, Numerical Analysis and Applications", Pedro Alonso y Mariano Matos (eds). Chapter 1, pp. 3-59. SEMA SIMAI Springer Series 13, 2017
• Mariano Mateos; Ira Neitzel. Dirichlet control of elliptic state constrained problems. Computational Optimization and Applications. 63/3, pp. 825 - 853. 2016
• Thomas Apel; Mariano Mateos; Johannes Pfefferer; Arnd Rösch. On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains. SIAM Journal on Control and Optimization. 53/6, pp. 3620 - 3641. 2015
• Eduardo Casas; Mariano Mateos; Boris Vexler. New regularity results and improved error estimates for optimal control problems with state constraints. ESAIM - Control, Optimisation and Calculus of Variations. 20/3, pp. 803 - 822. 2014
• Eduardo Casas; Mariano Mateos. Numerical approximation of elliptic control problems with finitely many pointwise constraints. Computational Optimization and Applications. 51/3, pp. 1319-1343. 2012
• Eduardo Casas; Mariano Mateos. Dirichlet Control Problems in Smooth and Nonsmooth Convex Plain Domains. Control and Cybernetics. 40/4, pp. 931 - 955. 2011
• Eduardo Casas; Andreas Günther; Mariano Mateos. A paradox in the approximation of Dirichlet control problems in curved domains. SIAM Journal on Control and Optimization. 49/5, pp. 1998 - 2007. 2011
• Mariano Mateos; Arnd Rösch. On saturation effects in the Neumann boundary control of elliptic optimal control problems. Computational Optimization and Applications. 40/2, pp. 359 - 378. 2011
• Eduardo Casas; Mariano Mateos; Jean-Pierre Raymond. Penalization of Dirichlet optimal control problems. ESAIM: CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. 15/4, pp. 782 - 809. 2009
• Eduardo Casas; Mariano Mateos. Error estimates for the numerical approximation of Neumann control problems. Computational Optimization and Applications. 39/3, pp. 265 - 295. 2008
• Eduardo Casas; Mariano Mateos; Jean-Pierre Raymond. Error estimates for the numerical approximation of a distributed control problem for the steady-state Navier-Stokes equations. SIAM Journal on Control and Optimization. 46/3, pp. 952 - 982. 2007
• Eduardo Casas; Mariano Mateos; Fredi Tröltzsch. Error estimates for the numerical approximation of boundary semilinear elliptic control problems. Computational Optimization and Applications. 31/2, pp. 193 - 219. 2005
• Eduardo Casas; Mariano Mateos. Uniform Convergence of the FEM. Applications to State Constrained Control Problems. Computational and Applied Mathematics. 21/1, pp. 67 - 100. 2002
• Eduardo Casas; Mariano Mateos. Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints. SIAM Journal on Control and Optimization. 40/5, pp. 1431 - 1454. 2002
• Eduardo Casas; Mariano Mateos; Jean-Pierre Raymond. Pontryagin's Principle for the Control of Parabolic Equations with Gradient State Constraints. Nonlinear Analysis, Theory, Methods and Applications. 46/7, pp. 933 - 956. 2001
• Eduardo Casas; Luis Alberto Fernández; Mariano Mateos. Second-Order Optimality Conditions for Semilinear Elliptic Control Problems with Constraints on the Gradient of the State. Control and Cybernetics. 28/3, pp. 463 - 479. 1999.