Convergence of the SQP method for quasilinear parabolic optimal control problems
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Publication:2069114
DOI10.1007/s11081-020-09547-2zbMath1481.35259OpenAlexW3083364844MaRDI QIDQ2069114
Publication date: 20 January 2022
Published in: Optimization and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11081-020-09547-2
convergence analysissequential quadratic programmingmixed boundary conditionsmaximal parabolic regularity
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37) Initial-boundary value problems for second-order parabolic equations (35K20) Regularity of solutions in optimal control (49N60) Programming in abstract spaces (90C48) Methods of successive quadratic programming type (90C55) Quasilinear parabolic equations (35K59)
Related Items (4)
Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ⋮ Optimal control of a quasilinear parabolic equation and its time discretization ⋮ OPTE special issue on PDE-constrained optimization
Uses Software
Cites Work
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- Error estimates for optimal control problems of a class of quasilinear equations arising in variable viscosity fluid flow
- Hölder-estimates for non-autonomous parabolic problems with rough data
- A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
- Automated solution of differential equations by the finite element method. The FEniCS book
- Maximal parabolic regularity for divergence operators including mixed boundary conditions
- Hölder continuity and optimal control for nonsmooth elliptic problems
- Nonautonomous parabolic equations involving measures
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- Second order optimality conditions for optimal control of quasilinear parabolic equations
- Analysis and optimal control of some quasilinear parabolic equations
- Numerical analysis of quasilinear parabolic equations under low regularity assumptions
- Second order optimality conditions and their role in PDE control
- Adaptive multilevel trust-region methods for time-dependent PDE-constrained optimization
- Optimal control of some quasilinear Maxwell equations of parabolic type
- Quasilinear parabolic problems via maximal regularity
- Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
- Adaptive Multilevel Inexact SQP-Methods for PDE-Constrained Optimization with Control Constraints
- Optimal Control of Quasilinear $\boldsymbol{H}(\mathbf{curl})$-Elliptic Partial Differential Equations in Magnetostatic Field Problems
- Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
- Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization
- Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations
- Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- The lagrange-newton method for infinite-dimensional optimization problems
- Analysis of the SQP-Method for Optimal Control Problems Governed by the Nonstationary Navier–Stokes Equations Based on $L^p$-theory
- Optimization with PDE Constraints
- Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems
- First- and Second-Order Optimality Conditions for a Class of Optimal Control Problems with Quasilinear Elliptic Equations
- On a lagrange — Newton method for a nonlinear parabolic boundary control problem∗
- Strongly Regular Generalized Equations
- Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
- Interpolation for Function Spaces Related to Mixed Boundary Value Problems
- The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints
- Maximal Regularity for Nonautonomous Evolution Equations
- Second order optimality conditions for a class of control problems governed by non-linear integral equations with application to parabolic boundary control
- On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
- Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 2: Optimality Conditions
- Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 1: Existence of Optimal Solutions
- A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
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