On an optimal control problem in laser cutting with mixed finite-/infinite-dimensional constraints

DOI10.3934/jimo.2014.10.503zbMath1275.49039OpenAlexW2323370261MaRDI QIDQ380588

Torsten Hermanns, Georg Vossen

Publication date: 14 November 2013

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2014.10.503

zbMATH Keywords

optimal controlstability analysisfree boundary problempartial differential equationlaser cutting

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Initial-boundary value problems for PDEs of mixed type (35M13)

Uses Software

• AMPL
• Ipopt

Cites Work

• A Modeling Language for Mathematical Programming
• Adjoint-based optimization of thermo-fluid phenomena in welding processes
• Optimal control of the free boundary in a two-phase Stefan problem
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Mathematical modelling and stability analysis for laser cutting
• Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation
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