Nonlinear conjugate gradient methods for the optimal control of laser surface hardening

DOI10.1080/10556780410001654214zbMath1062.49034OpenAlexW1965528351MaRDI QIDQ3156722

Stefan Volkwein

Publication date: 11 January 2005

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780410001654214

zbMATH Keywords

optimal controlnonlinear conjugate gradient methodlaser surface hardeningline-searchWolfe-Powell conditions

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Nonlinear parabolic equations (35K55) Numerical methods based on nonlinear programming (49M37) Lasers, masers, optical bistability, nonlinear optics (78A60) Optimization problems in thermodynamics and heat transfer (80M50)

Related Items

A posteriori error estimates for an optimal control problem of laser surface hardening of steel, Analysis of an optimal control problem for the tridomain model in cardiac electrophysiology, A dual weighted residual method for an optimal control problem of laser surface hardening of steel, Algorithms for PDE-constrained optimization

Uses Software

• KELLEY

Cites Work

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• On the relation between quadratic termination and convergence properties of minimization algorithms. Part I. Theory
• On the relation between quadratic termination and convergence properties of minimization algorithms. Part II. Applications
• Application of the dual active set algorithm to quadratic network optimization
• Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints
• Dual Approximations in Optimal Control
• Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Some convergence properties of the conjugate gradient method
• Numerical Optimization
• Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Some questions in the optimal control of distributed systems
• Numerical simulation of the surface hardening of steel
• Convergence Conditions for Ascent Methods
• Linear Convergence of the Conjugate Gradient Method