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ORCIDEduardo Casas
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- affiliation: University of Cantabria, Santander, Spain
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2020 – today
- 2023
[j56]Eduardo Casas
, Mariano Mateos:
Error Estimates for the Numerical Approximation of Unregularized Sparse Parabolic Control Problems. Comput. Methods Appl. Math. 23(4): 877-898 (2023)- [j55]Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos:
Semismooth Newton Method for Boundary Bilinear Control. IEEE Control. Syst. Lett. 7: 3549-3554 (2023) - [j54]Eduardo Casas, Daniel Wachsmuth:
A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations. SIAM J. Control. Optim. 61(3): 1095-1112 (2023) - [j53]Eduardo Casas, Karl Kunisch:
Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part I: Analysis of the Controlled State Equation. SIAM J. Control. Optim. 61(3): 1375-1393 (2023) - [j52]Eduardo Casas, Alberto Domínguez Corella, Nicolai Jork:
New Assumptions for Stability Analysis in Elliptic Optimal Control Problems. SIAM J. Control. Optim. 61(3): 1394-1414 (2023) - [j51]Eduardo Casas, Karl Kunisch:
Infinite Horizon Optimal Control Problems with Discount Factor on the State, Part II: Analysis of the Control Problem. SIAM J. Control. Optim. 61(3): 1438-1459 (2023) - 2022
- [j50]Eduardo Casas, Karl Kunisch:
Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations. SIAM J. Control. Optim. 60(4): 2070-2094 (2022) - [j49]Eduardo Casas, Mariano Mateos:
Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization. SIAM J. Optim. 32(1): 319-320 (2022) - [c6]Eduardo Casas, Karl Kunisch:
Boundary Control of Semilinear Parabolic Equations with Non-Smooth Point-wise-Integral Control Constraints in Time-Space*. ACC 2022: 284-289 - 2021
- [j48]Eduardo Casas, Mariano Mateos, Arnd Rösch:
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. Numerische Mathematik 149(2): 305-340 (2021) - [j47]Eduardo Casas, Karl Kunisch:
Optimal Control of the Two-Dimensional Evolutionary Navier-Stokes Equations with Measure Valued Controls. SIAM J. Control. Optim. 59(3): 2223-2246 (2021) - 2020
- [j46]Eduardo Casas, Fredi Tröltzsch:
On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation. SIAM J. Control. Optim. 58(4): 1961-1983 (2020) - [j45]Eduardo Casas, Daniel Wachsmuth:
First and Second Order Conditions for Optimal Control Problems with an L0 Term in the Cost Functional. SIAM J. Control. Optim. 58(6): 3486-3507 (2020) - [j44]Eduardo Casas, Mariano Mateos:
Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization. SIAM J. Optim. 30(1): 585-603 (2020)
2010 – 2019
- 2019
- [j43]Eduardo Casas, Konstantinos Chrysafinos:
Numerical analysis of quasilinear parabolic equations under low regularity assumptions. Numerische Mathematik 143(4): 749-780 (2019) - [j42]Eduardo Casas, Karl Kunisch:
Optimal Control of the Two-Dimensional Stationary Navier-Stokes Equations with Measure Valued Controls. SIAM J. Control. Optim. 57(2): 1328-1354 (2019) - [j41]Eduardo Casas, Mariano Mateos, Arnd Rösch:
Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term. SIAM J. Control. Optim. 57(4): 2515-2540 (2019) - 2018
- [j40]Eduardo Casas, Mariano Mateos, Arnd Rösch:
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity. Comput. Optim. Appl. 70(1): 239-266 (2018) - [j39]Eduardo Casas, Christopher Ryll, Fredi Tröltzsch:
Optimal control of a class of reaction-diffusion systems. Comput. Optim. Appl. 70(3): 677-707 (2018) - [j38]Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth:
Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems. SIAM J. Control. Optim. 56(6): 4203-4227 (2018) - [j37]Eduardo Casas, Mariano Mateos, Fredi Tröltzsch:
Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay. SIAM J. Control. Optim. 56(6): 4434-4460 (2018) - 2017
- [j36]Eduardo Casas, Karl Kunisch:
Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations. SIAM J. Control. Optim. 55(1): 512-532 (2017) - [j35]Eduardo Casas, Florian Kruse, Karl Kunisch:
Optimal Control of Semilinear Parabolic Equations by BV-Functions. SIAM J. Control. Optim. 55(3): 1752-1788 (2017) - [j34]Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth:
Sufficient Second-Order Conditions for Bang-Bang Control Problems. SIAM J. Control. Optim. 55(5): 3066-3090 (2017) - 2016
- [j33]Eduardo Casas, Konstantinos Chrysafinos:
Analysis of the Velocity Tracking Control Problem for the 3D Evolutionary Navier-Stokes Equations. SIAM J. Control. Optim. 54(1): 99-128 (2016) - [j32]Eduardo Casas, Peter I. Kogut, Günter Leugering:
Approximation of Optimal Control Problems in the Coefficient for the p-Laplace Equation. I. Convergence Result. SIAM J. Control. Optim. 54(3): 1406-1422 (2016) - 2015
- [j31]Eduardo Casas, Konstantinos Chrysafinos:
Error estimates for the discretization of the velocity tracking problem. Numerische Mathematik 130(4): 615-643 (2015) - [j30]Eduardo Casas, Christopher Ryll, Fredi Tröltzsch:
Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh-Nagumo Equation. SIAM J. Control. Optim. 53(4): 2168-2202 (2015) - 2014
- [j29]Eduardo Casas, Karl Kunisch:
Optimal Control of Semilinear Elliptic Equations in Measure Spaces. SIAM J. Control. Optim. 52(1): 339-364 (2014) - [j28]Eduardo Casas, Fredi Tröltzsch:
Second-Order and Stability Analysis for State-Constrained Elliptic Optimal Control Problems with Sparse Controls. SIAM J. Control. Optim. 52(2): 1010-1033 (2014) - 2013
- [j27]Eduardo Casas, Christopher Ryll, Fredi Tröltzsch:
Sparse Optimal Control of the Schlögl and FitzHugh-Nagumo Systems. Comput. Methods Appl. Math. 13(4): 415-442 (2013) - [j26]Eduardo Casas, Enrique Zuazua:
Spike controls for elliptic and parabolic PDEs. Syst. Control. Lett. 62(4): 311-318 (2013) - [j25]Eduardo Casas, Christian Clason, Karl Kunisch:
Parabolic Control Problems in Measure Spaces with Sparse Solutions. SIAM J. Control. Optim. 51(1): 28-63 (2013) - 2012
- [j24]Eduardo Casas, Mariano Mateos:
Numerical approximation of elliptic control problems with finitely many pointwise constraints. Comput. Optim. Appl. 51(3): 1319-1343 (2012) - [j23]Eduardo Casas, Vili Dhamo:
Error estimates for the numerical approximation of Neumann control problems governed by a class of quasilinear elliptic equations. Comput. Optim. Appl. 52(3): 719-756 (2012) - [j22]Eduardo Casas, Fredi Tröltzsch:
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Comput. Optim. Appl. 53(1): 173-206 (2012) - [j21]Eduardo Casas, Roland Herzog, Gerd Wachsmuth:
Approximation of sparse controls in semilinear equations by piecewise linear functions. Numerische Mathematik 122(4): 645-669 (2012) - [j20]Eduardo Casas, Christian Clason, Karl Kunisch:
Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions. SIAM J. Control. Optim. 50(4): 1735-1752 (2012) - [j19]Eduardo Casas:
Second Order Analysis for Bang-Bang Control Problems of PDEs. SIAM J. Control. Optim. 50(4): 2355-2372 (2012) - [j18]Eduardo Casas, Fredi Tröltzsch:
Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory. SIAM J. Optim. 22(1): 261-279 (2012) - [j17]Eduardo Casas, Roland Herzog, Gerd Wachsmuth:
Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L1 Cost Functional. SIAM J. Optim. 22(3): 795-820 (2012) - [j16]Eduardo Casas, Konstantinos Chrysafinos:
A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem. SIAM J. Numer. Anal. 50(5): 2281-2306 (2012) - 2011
- [j15]Eduardo Casas, Vili Dhamo:
Error estimates for the numerical approximation of a quaslinear Neumann problem under minimal regularity of the data. Numerische Mathematik 117(1): 115-145 (2011) - [j14]Eduardo Casas, Andreas Günther, Mariano Mateos:
A Paradox in the Approximation of Dirichlet Control Problems in Curved Domains. SIAM J. Control. Optim. 49(5): 1998-2007 (2011) - [c5]Eduardo Casas:
Second Order Conditions for L 2 Local Optimality in PDE Control. System Modelling and Optimization 2011: 1-12 - [c4]Eduardo Casas, Roland Herzog, Gerd Wachsmuth:
Approximation of Sparse Controls in Semilinear Elliptic Equations. LSSC 2011: 16-27 - 2010
- [j13]Eduardo Casas, Jan Sokolowski:
Approximation of Boundary Control Problems on Curved Domains. SIAM J. Control. Optim. 48(6): 3746-3780 (2010)
2000 – 2009
- 2009
- [j12]Eduardo Casas, Fredi Tröltzsch:
First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations. SIAM J. Control. Optim. 48(2): 688-718 (2009) - 2008
- [j11]Eduardo Casas, Mariano Mateos:
Error estimates for the numerical approximation of Neumann control problems. Comput. Optim. Appl. 39(3): 265-295 (2008) - [j10]Eduardo Casas, Juan Carlos de los Reyes, Fredi Tröltzsch:
Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints. SIAM J. Optim. 19(2): 616-643 (2008) - 2007
- [j9]Eduardo Casas:
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Adv. Comput. Math. 26(1-3): 137-153 (2007) - [j8]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 J. Control. Optim. 46(3): 952-982 (2007) - 2006
- [j7]Eduardo Casas, Jean-Pierre Raymond:
Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations. SIAM J. Control. Optim. 45(5): 1586-1611 (2006) - [c3]Eduardo Casas, Mariano Mateos:
Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Continuous Piecewise Linear Approximations. Systems, Control, Modeling and Optimization 2006: 91-101 - 2005
- [j6]Eduardo Casas, Mariano Mateos, Fredi Tröltzsch:
Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Comput. Optim. Appl. 31(2): 193-219 (2005) - 2002
- [j5]Nadir Arada, Eduardo Casas, Fredi Tröltzsch:
Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem. Comput. Optim. Appl. 23(2): 201-229 (2002) - [j4]Eduardo Casas, Mariano Mateos:
Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints. SIAM J. Control. Optim. 40(5): 1431-1454 (2002) - [j3]Eduardo Casas, Fredi Tröltzsch:
Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory. SIAM J. Optim. 13(2): 406-431 (2002) - [c2]Eduardo Casas, Fredi Tröltzsch:
Error estimates for linear-quadratic elliptic control problems. Analysis and Optimization of Differential Systems 2002: 89-100 - 2000
- [j2]Eduardo Casas, Fredi Tröltzsch, Andreas Unger:
Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations. SIAM J. Control. Optim. 38(5): 1369-1391 (2000) - [j1]Eduardo Casas, J. P. Raymond, Housnaa Zidani:
Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints. SIAM J. Control. Optim. 39(4): 1182-1203 (2000)
1990 – 1999
- 1993
- [c1]Eduardo Casas, Luis Alberto Fernandez, Jiongmin Yong:
Optimal control problems of quasilinear parabolic equations. System Modelling and Optimization 1993: 652-659
Coauthor Index
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