Abstract
Abstract Discretization of state-constrained optimal control problems and structural design problems often leads to optimization problems with non-dif-ferentiable objective functions. In this paper, tools of nonsmooth optimization (subgradient method) are applied to perform design sensitivity analysis for some state-constrained distributed parameter control problems arising from sizing problems in structural design. Moreover, design sensitivity analysis for optimal shape design problems with unilateral boundary value problems (Dirichlet-Signorini type problems) is considered.
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