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Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2018, Volume 339, pp. 514 - 541
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2018, Volume 75, Issue 2, pp. 335 - 348
This work is devoted to investigate the spectral approximation of optimal control of parabolic problems. The space–time method is used to boost high-order... 
Parabolic equations | A priori error estimates | Space–time spectral method | Optimal control | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | APPROXIMATION | POINTWISE STATE CONSTRAINTS | GALERKIN METHOD | FINITE-ELEMENT METHODS | NAVIER-STOKES EQUATIONS | Space-time spectral method | CONSTRAINED OPTIMAL-CONTROL | ELLIPTIC-EQUATIONS
Journal Article
SIAM journal on control and optimization, ISSN 1095-7138, 2004, Volume 43, Issue 3, pp. 970 - 985
Journal Article
Numerische Mathematik, ISSN 0029-599X, 2/2012, Volume 120, Issue 2, pp. 345 - 386
In this paper, a priori error estimates for space–time finite element discretizations of optimal control problems governed by semilinear parabolic PDEs and subject to pointwise control constraints are derived... 
65M15 | Mathematical Methods in Physics | Numerical Analysis | Theoretical, Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Mathematics, general | Mathematics | 65M60 | 49M25 | NUMERICAL APPROXIMATION | ELLIPTIC CONTROL-PROBLEM | MATHEMATICS, APPLIED | EQUATION | CONTROL CONSTRAINTS
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2017, Volume 55, Issue 2, pp. 1101 - 1133
Journal Article
Journal of applied mathematics, ISSN 1687-0042, 2019, Volume 2019, pp. 1 - 5
In this paper, a state-constrained optimal control problem governed by -Laplacian elliptic equations is studied... 
Problems | Elliptic functions | Discretization | Mathematical analysis | Optimal control
Journal Article
Optimal control applications & methods, ISSN 0143-2087, 2018, Volume 39, Issue 3, pp. 1168 - 1181
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 09/2008, Volume 77, Issue 263, pp. 1269 - 1291
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 2014, Volume 409, Issue 1, pp. 446 - 458
Journal Article
ESAIM - Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 2016, Volume 22, Issue 2, pp. 355 - 370
Journal Article
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2012, Volume 50, Issue 4, pp. 1735 - 1752
Optimal control problems in measure spaces governed by elliptic equations are considered for distributed and Neumann boundary control, which are known to promote sparse solutions... 
Boundary control | Measure controls | Convergence estimates | Sparsity | Elliptic partial differential equation | Optimal control | MATHEMATICS, APPLIED | elliptic partial differential equation | DIRICHLET PROBLEM | optimal control | convergence estimates | sparsity | boundary control | measure controls | AUTOMATION & CONTROL SYSTEMS
Journal Article
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, ISSN 0363-0129, 2019, Volume 57, Issue 4, pp. 3021 - 3045
We investigate full Lipschitzian and full Holderian stability for a class of control problems governed by semilinear elliptic partial differential equations, where the cost functional, the state... 
MATHEMATICS, APPLIED | 2ND-ORDER OPTIMALITY CONDITIONS | semilinear elliptic partial differential equations | PARAMETRIC OPTIMAL-CONTROL | combined second-order subdifferential | full Holderian stability | coderivative | BANG CONTROL-PROBLEMS | LIPSCHITZ STABILITY | full Lipschitzian stability | REGULARIZATION | AUTOMATION & CONTROL SYSTEMS | perturbed control problem
Journal Article
Optimal control applications & methods, ISSN 0143-2087, 2019, Volume 40, Issue 2, pp. 241 - 264
Summary We analyze both a priori and a posteriori error analysis of finite‐element method for elliptic optimal control problems with measure data in a bounded convex domain in Rd (d = 2or3... 
finite‐element approximations | elliptic optimal control problem | a priori and a posteriori error estimates | measure data | finite-element approximations | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EQUATIONS | CONVERGENCE | AUTOMATION & CONTROL SYSTEMS | Variables | Lower bounds | Economic models | Error analysis | Equations of state | Upper bounds | Optimal control | Regularity | State variable
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2019, Volume 39, Issue 4, pp. 1985 - 2015
Abstract This paper concerns the adaptive finite element method for elliptic Dirichlet boundary control problems in the energy space... 
Dirichlet boundary control | adaptive finite element method | MATHEMATICS, APPLIED | optimal control problem | energy space | APPROXIMATION | convergence | POSTERIORI ERROR ANALYSIS | elliptic equation
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 08/2017, Volume 74, Issue 4, pp. 714 - 726
In this paper, we investigate error estimates and superconvergence of a mixed finite element method for elliptic optimal control problems... 
Mixed finite element methods | Superconvergence | Optimal control problems | Elliptic equations | Error estimate | MATHEMATICS, APPLIED | APPROXIMATION | EQUATIONS | Finite element method | Methods
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 2014, Volume 24, Issue 8, pp. 1457 - 1493
Journal Article
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