Analysis and semidiscrete Galerkin approximation of a class of nonlinear parabolic optimal control problems

DOI10.1016/S0898-1221(98)00022-4zbMath0908.65048OpenAlexW2056686633MaRDI QIDQ1129472

Anna Dȩbińska-Nagórska, Zdzisław Stempień, Andrzej Just

Publication date: 1 November 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00022-4

zbMATH Keywords

convergencenonlinear parabolic optimal control problemssemidiscrete Galerkin approximation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

Approximation of an optimal control problem governed by a differential parabolic inclusion ⋮ Analysis and semidiscrete galerkin approximation of A class of nonlinear hyperbolic optimal control problems

Cites Work

• Galerkin Approximations of Abstract Parabolic Boundary Value Problems With Rough Boundary Data-L p Theory
• Initial Value Methods for Parabolic Control Problems
• Boundary Control Problems with Nonlinear State Equation
• Optimal Problems for Nonlinear Parabolic Boundary Control Systems
• On Convergence of Semidiscrete Ritz‐Galerkin Schemes Applied to the Boundary Control of Parabolic Equations with Non‐Linear Boundary Condition
• Existence and Uniqueness of Optimal Controls for a Quasilinear Parabolic Equation
• Optimality Conditions for Distributed Control Problems with Nonlinear State Equation
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