Eduardo Casas

Publication Activity (10 Years)

Years Active: 1993-2023
Publications (10 Years): 26

Top Topics

Partial Differential Equations

Hamilton Jacobi Bellman

Control Problems

Cost Functional

Top Venues

SIAM J. Control. Optim.

Numerische Mathematik

Comput. Optim. Appl.

Publications

Eduardo Casas, Alberto Domínguez Corella, Nicolai Jork
New Assumptions for Stability Analysis in Elliptic Optimal Control Problems. SIAM J. Control. Optim. 61 (3) (2023)
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) (2023)
Eduardo Casas, Konstantinos Chrysafinos, Mariano Mateos
Semismooth Newton Method for Boundary Bilinear Control. IEEE Control. Syst. Lett. 7 (2023)
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) (2023)
Eduardo Casas, Mariano Mateos
Error Estimates for the Numerical Approximation of Unregularized Sparse Parabolic Control Problems. Comput. Methods Appl. Math. 23 (4) (2023)
Eduardo Casas, Daniel Wachsmuth
A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations. SIAM J. Control. Optim. 61 (3) (2023)
Eduardo Casas, Karl Kunisch
Infinite Horizon Optimal Control Problems for a Class of Semilinear Parabolic Equations. SIAM J. Control. Optim. 60 (4) (2022)
Eduardo Casas, Mariano Mateos
Corrigendum: Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization. SIAM J. Optim. 32 (1) (2022)
Eduardo Casas, Karl Kunisch
. ACC (2022)
Eduardo Casas, Mariano Mateos, Arnd Rösch
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations. Numerische Mathematik 149 (2) (2021)
Eduardo Casas, Karl Kunisch
Optimal Control of the Two-Dimensional Evolutionary Navier-Stokes Equations with Measure Valued Controls. SIAM J. Control. Optim. 59 (3) (2021)
Eduardo Casas, Mariano Mateos
Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization. SIAM J. Optim. 30 (1) (2020)
Eduardo Casas, Daniel Wachsmuth
Term in the Cost Functional. SIAM J. Control. Optim. 58 (6) (2020)
Eduardo Casas, Fredi Tröltzsch
On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation. SIAM J. Control. Optim. 58 (4) (2020)
Eduardo Casas, Konstantinos Chrysafinos
Numerical analysis of quasilinear parabolic equations under low regularity assumptions. Numerische Mathematik 143 (4) (2019)
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) (2019)
Eduardo Casas, Karl Kunisch
Optimal Control of the Two-Dimensional Stationary Navier-Stokes Equations with Measure Valued Controls. SIAM J. Control. Optim. 57 (2) (2019)
Eduardo Casas, Mariano Mateos, Fredi Tröltzsch
Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay. SIAM J. Control. Optim. 56 (6) (2018)
Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth
Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems. SIAM J. Control. Optim. 56 (6) (2018)
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) (2018)
Eduardo Casas, Christopher Ryll, Fredi Tröltzsch
Optimal control of a class of reaction-diffusion systems. Comput. Optim. Appl. 70 (3) (2018)
Eduardo Casas, Karl Kunisch
Stabilization by Sparse Controls for a Class of Semilinear Parabolic Equations. SIAM J. Control. Optim. 55 (1) (2017)
Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth
Sufficient Second-Order Conditions for Bang-Bang Control Problems. SIAM J. Control. Optim. 55 (5) (2017)
Eduardo Casas, Florian Kruse, Karl Kunisch
Optimal Control of Semilinear Parabolic Equations by BV-Functions. SIAM J. Control. Optim. 55 (3) (2017)
Eduardo Casas, Konstantinos Chrysafinos
Analysis of the Velocity Tracking Control Problem for the 3D Evolutionary Navier-Stokes Equations. SIAM J. Control. Optim. 54 (1) (2016)
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) (2016)
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) (2015)
Eduardo Casas, Konstantinos Chrysafinos
Error estimates for the discretization of the velocity tracking problem. Numerische Mathematik 130 (4) (2015)
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) (2014)
Eduardo Casas, Karl Kunisch
Optimal Control of Semilinear Elliptic Equations in Measure Spaces. SIAM J. Control. Optim. 52 (1) (2014)
Eduardo Casas, Christopher Ryll, Fredi Tröltzsch
Sparse Optimal Control of the Schlögl and FitzHugh-Nagumo Systems. Comput. Methods Appl. Math. 13 (4) (2013)
Eduardo Casas, Christian Clason, Karl Kunisch
Parabolic Control Problems in Measure Spaces with Sparse Solutions. SIAM J. Control. Optim. 51 (1) (2013)
Eduardo Casas, Enrique Zuazua
Spike controls for elliptic and parabolic PDEs. Syst. Control. Lett. 62 (4) (2013)
Eduardo Casas, Konstantinos Chrysafinos
A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem. SIAM J. Numer. Anal. 50 (5) (2012)
Eduardo Casas
Second Order Analysis for Bang-Bang Control Problems of PDEs. SIAM J. Control. Optim. 50 (4) (2012)
Eduardo Casas, Mariano Mateos
Numerical approximation of elliptic control problems with finitely many pointwise constraints. Comput. Optim. Appl. 51 (3) (2012)
Eduardo Casas, Christian Clason, Karl Kunisch
Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions. SIAM J. Control. Optim. 50 (4) (2012)
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) (2012)
Eduardo Casas, Fredi Tröltzsch
A general theorem on error estimates with application to a quasilinear elliptic optimal control problem. Comput. Optim. Appl. 53 (1) (2012)
Eduardo Casas, Roland Herzog, Gerd Wachsmuth
Cost Functional. SIAM J. Optim. 22 (3) (2012)
Eduardo Casas, Fredi Tröltzsch
Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory. SIAM J. Optim. 22 (1) (2012)
Eduardo Casas, Roland Herzog, Gerd Wachsmuth
Approximation of sparse controls in semilinear equations by piecewise linear functions. Numerische Mathematik 122 (4) (2012)
Eduardo Casas, Andreas Günther, Mariano Mateos
A Paradox in the Approximation of Dirichlet Control Problems in Curved Domains. SIAM J. Control. Optim. 49 (5) (2011)
Eduardo Casas
Second Order Conditions for L 2 Local Optimality in PDE Control. System Modelling and Optimization (2011)
Eduardo Casas, Roland Herzog, Gerd Wachsmuth
Approximation of Sparse Controls in Semilinear Elliptic Equations. LSSC (2011)
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) (2011)
Eduardo Casas, Jan Sokolowski
Approximation of Boundary Control Problems on Curved Domains. SIAM J. Control. Optim. 48 (6) (2010)
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) (2009)
Eduardo Casas, Mariano Mateos
Error estimates for the numerical approximation of Neumann control problems. Comput. Optim. Appl. 39 (3) (2008)
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) (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 J. Control. Optim. 46 (3) (2007)
Eduardo Casas
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems. Adv. Comput. Math. 26 (1-3) (2007)
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) (2006)
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)
Eduardo Casas, Mariano Mateos, Fredi Tröltzsch
Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems. Comput. Optim. Appl. 31 (2) (2005)
Eduardo Casas, Mariano Mateos
Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints. SIAM J. Control. Optim. 40 (5) (2002)
Eduardo Casas, Fredi Tröltzsch
Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory. SIAM J. Optim. 13 (2) (2002)
Eduardo Casas, Fredi Tröltzsch
Error estimates for linear-quadratic elliptic control problems. Analysis and Optimization of Differential Systems (2002)
Nadir Arada, Eduardo Casas, Fredi Tröltzsch
Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem. Comput. Optim. Appl. 23 (2) (2002)
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) (2000)
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) (2000)
Eduardo Casas, Luis Alberto Fernandez, Jiongmin Yong
Optimal control problems of quasilinear parabolic equations. System Modelling and Optimization (1993)