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Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems
5/5 checkable references clean · checked 2026-09-09
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
13 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.
The 5 checked references that resolve
resolves10.1016/0022-247X(73)90022-X
Approximation of a class of optimal control problems with order of convergence estimates
resolves10.1007/BF02417890
Error estimates for a galerkin approximation of a parabolic control problem
The 13 references without a DOI — listed, not checked
no DOI — not checkedJ. P. Aubin,Approximation of Elliptic Boundary-Value Problems, Wiley-Interscience, New York, 1972.
no DOI — not checkedI. Babu?ka, A. K. Aziz, Survey Lecture on Mathematical Foundations of the Finite Element Method, inThe Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations A. K. Aziz (ed.), Academic Press, New York, 1972.
no DOI — not checkedV. M. Budak, F. P. Vasilév,Some Numerical Aspects of Optimal Control Problems, Moscow University Press, Moscow, 1975 (in Russian).
no DOI — not checkedT. Geveci, On the approximation of the solution of an optimal control problem governed by an elliptic equation,R.A.I.R.O. Analyse Numerique, 13:313?328 (1979).
no DOI — not checkedP. Holnicki, Rate of convergence estimates for a discrete-time Galerkin approximation to optimal control problems for hyperbolic systems,Arch. Aut. Telemech. 23:46?64 (1978).
no DOI — not checkedI. Lasiecka, K. Malanowski, On discrete-time Ritz?Galerkin approximation of control constrained optimal control problems for parabolic systems,Control and Cybernetics, 7:21?36 (1978).
no DOI — not checkedJ. L. Lions,Contrôle Optimal de Systèmes Gouvernés par des Equations aux Derivées Partielles, Dunod, Paris, 1968.
no DOI — not checkedJ. L. Lions, E. Magenes,Problemes aux Limites Non Homogènes et Applications, vol. 1, 2, Dunod, Paris, 1968.
no DOI — not checkedK. Malanowski, Convergence of approximations to convex optimal control problems with amplitude constrained control,Control and Cybernetics, 9:203?218(1980).
no DOI — not checkedL. Tartar,Equations with Order-preserving Properties, MRC Technical Summary Report 1580, University of Wisconsin, February 1976.
no DOI — not checkedM. M. Vainberg,Variational Method and Method of Monotone Operators, Nauka, Moscow, 1972 (in Russian).
no DOI — not checkedT. I. Seidman,Regularity of Optimal Boundary Control for Parabolic Equations, I: Semigroup Methods and Analicity. Mathematics Research Report Number 80-8, University of Maryland, Baltimore County, February 1980.
no DOI — not checkedT. I. Seidman,Regularity of Optimal Boundary Control for Parabolic Equations. Mathematics Research Report Number 80-15, University of Maryland Baltimore County, June 1980.
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