Convergence of the SQP method for quasilinear parabolic optimal control problems
type: Item
instance of: scholarly article
title: Convergence of the SQP method for quasilinear parabolic optimal control problems
zbMATH Open document ID: 1481.35259
author: Fabian Hoppe
author: Ira Neitzel
published in: Optimization and Engineering
publication date: 2022-01-20T00:00:00Z
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C55
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49M37
zbMATH DE Number: 7460628
zbMATH Keywords: sequential quadratic programming
zbMATH Keywords: convergence analysis
zbMATH Keywords: maximal parabolic regularity
zbMATH Keywords: mixed boundary conditions
describes a project that uses: FEniCS
MaRDI profile type: Publication
full work available at URL: s11081-020-09547-2
OpenAlex ID: W3083364844
cites work: The lagrange-newton method for infinite-dimensional optimization problems
cites work: Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
cites work: Nonautonomous parabolic equations involving measures
cites work: Maximal Regularity for Nonautonomous Evolution Equations
cites work: Quasilinear parabolic problems via maximal regularity
cites work: Second order optimality conditions for optimal control of quasilinear parabolic equations
cites work: Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
cites work: Analysis and optimal control of some quasilinear parabolic equations
cites work: Numerical analysis of quasilinear parabolic equations under low regularity assumptions
cites work: Q5500856
cites work: First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
cites work: Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations
cites work: A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
cites work: Second order analysis for optimal control problems: improving results expected from abstract theory
cites work: Second order optimality conditions and their role in PDE control
cites work: Error estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow
cites work: Q5506059
cites work: Q4717940
cites work: Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control
cites work: On a lagrange — Newton method for a nonlinear parabolic boundary control problem∗
cites work: Interpolation for Function Spaces Related to Mixed Boundary Value Problems
cites work: Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems
cites work: Q5397345
cites work: A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
cites work: Maximal parabolic regularity for divergence operators including mixed boundary conditions
cites work: Hölder continuity and optimal control for nonsmooth elliptic problems
cites work: Q4942478
cites work: A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
cites work: Q3101885
cites work: Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
cites work: Optimization with PDE Constraints
cites work: Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
cites work: The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
cites work: Q5601627
cites work: Automated solution of differential equations by the finite element method. The FEniCS book
cites work: Hölder-estimates for non-autonomous parabolic problems with rough data
cites work: Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 1: Existence of Optimal Solutions
cites work: Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 2: Optimality Conditions
cites work: Optimal control of some quasilinear Maxwell equations of parabolic type
cites work: Strongly Regular Generalized Equations
cites work: On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
cites work: Q4487446
cites work: Q3558349
cites work: Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
cites work: Q5198964
cites work: Adaptive multilevel trust-region methods for time-dependent PDE-constrained optimization
cites work: Analysis of the SQP-Method for Optimal Control Problems Governed by the Nonstationary Navier–Stokes Equations Based on $L^p$-theory
cites work: Optimal control of quasilinear \(\mathbf{H}(\mathbf{curl})\)-elliptic partial differential equations in magnetostatic field problems
cites work: Adaptive multilevel inexact SQP-methods for PDE-constrained optimization with control constraints
cites work: Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization
DOI: 10.1007/S11081-020-09547-2
Recommended article: Q4315468
Recommended article: Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems
Recommended article: Q4036800

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: A quadratically convergent inexact SQP method for optimal control of differential algebraic equations
Similarity Score: 0.9336383
Recommender Run: Recommender Run 3

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: Q4877094
Similarity Score: 0.932905
Recommender Run: Recommender Run 3

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: Q4817274
Similarity Score: 0.9271922
Recommender Run: Recommender Run 3

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: Q4234988
Similarity Score: 0.9234988
Recommender Run: Recommender Run 3

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: Q5397345
Similarity Score: 0.9213103
Recommender Run: Recommender Run 3

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
Similarity Score: 0.92126095
Recommender Run: Recommender Run 3

Convergence of the SQP method for quasilinear parabolic optimal control problems (Recommended article)
Recommended article: Convergence Results for Optimal Control Problems Governed by Elliptic Quasivariational Inequalities
Similarity Score: 0.91651475
Recommender Run: Recommender Run 3