Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation

DOI10.7494/OpMath.2016.36.2.239zbMath1338.49062MaRDI QIDQ2806529

Andrzej Just, Zdzisław Stempień

Publication date: 18 May 2016

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

nonlinear beam equationGalerkin approximationPareto optimal control

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

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Cites Work

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• Initial-boundary value problems for an extensible beam
• The control variational method for beams in contact with deformable obstacles
• Existence, uniqueness and asymptotic behavior for solutions of the nonlinear beam equation

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