On optimal control problems connected with eigenvalue variational inequalities
Copyright policy )On optimal control problems connected with eigenvalue variational inequalities
AbstractThe eigenvalue optimization problem for a variational inequality over the convex cone is to be dealt with. The control variable appears in the operator of the unilateral problem. The existence theorem for the maximum first eigenvalue optimization problem is stated and verified. The necessary optimality condition is derived. The applications to the optimal design of unilaterally supported beams and plates are presented. The variable thickness of a construction plays the role of a design variable. The convergence of the finite elements approximation is proved. Copyright © 2001 John Wiley & Sons, Ltd.
Numerical methods for eigenvalue problems for boundary value problems involving PDEs, necessary condition, Existence theories for optimal control problems involving partial differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Variational inequalities, eigenvalue optimization, optimal control, unilateral plate, Rods (beams, columns, shafts, arches, rings, etc.), optimal design, Plates, unilateral beam
Numerical methods for eigenvalue problems for boundary value problems involving PDEs, necessary condition, Existence theories for optimal control problems involving partial differential equations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Variational inequalities, eigenvalue optimization, optimal control, unilateral plate, Rods (beams, columns, shafts, arches, rings, etc.), optimal design, Plates, unilateral beam
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