Semi-Smooth Newton Methods for Optimal Control of the Dynamical Lamé System with Control Constraints

DOI10.1080/01630563.2013.772423zbMath1278.49034OpenAlexW2040121471MaRDI QIDQ2854323

Axel Kröner

Publication date: 18 October 2013

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.772423

zbMATH Keywords

optimal controlfinite elementscontrol constraintssemi-smooth Newton methodsdynamical Lamé system

Mathematics Subject Classification ID

Newton-type methods (49M15) Classical linear elasticity (74B05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (3)

A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations ⋮ SKRYN: a fast semismooth-Krylov-Newton method for controlling Ising spin systems ⋮ Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Theory of function spaces
• Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds
• Limiting behavior of strongly damped nonlinear wave equations
• Adaptive finite element methods for optimal control of second order hyperbolic equations
• Constrained optimal control of Navier--Stokes flow by semismooth Newton methods
• On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem
• Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
• Lagrange Multiplier Approach to Variational Problems and Applications
• Optimal distributed control of the wave equation subject to state constraints
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation
• Semismooth Newton Methods for Operator Equations in Function Spaces
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
• Numerical Approximation of Exact Controls for Waves
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
• Finite Elements

This page was built for publication: Semi-Smooth Newton Methods for Optimal Control of the Dynamical Lamé System with Control Constraints