On optimal control problems connected with eigenvalue variational inequalities

DOI10.1002/mma.236zbMath0994.49003OpenAlexW2031730036MaRDI QIDQ2747415

Igor Bock

Publication date: 2 October 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.236

zbMATH Keywords

optimal controleigenvalue optimizationoptimal designnecessary conditionunilateral beamunilateral plate

Mathematics Subject Classification ID

Variational inequalities (49J40) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

The verification of multiplicity support of a defective eigenvalue of a real matrix ⋮ Existence Criteria in Some Extremum Problems Involving Eigenvalues of Elliptic Operators

Cites Work

• Unnamed Item
• Optimal control of a variational inequality with applications to structural analysis. I: Optimal design of a beam with unilateral supports
• Optimal control of a variational inequality with applications to structural analysis. II: Local optimization of the stress in a beam. III: Optimal design of an elastic plate
• Nondifferentiable Optimization Problems for Elliptic Systems
• Eigenwertaufgaben für Variationsungleichungen
• Verzweigungsprobleme für Variationsungleichugen
• A free boundary problem and stability for the rectangular plate
• Minimax Principle for Eigenvalue Problems of Variational Inequalities in Convex Sets
• A free boundary problem and stability for the nonlinear beam

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