Abstract
Preliminaries - Green's formula abstract setting of optimal shape design problem and its approximation shape optimization of systems governed by unilateral boundary value state problem - scalar case approximation of the optimal shape design problems by finite elements - scalar case numerical realization shape optimization in unilateral boundary value problems with flux cost functional optimal shape design in contact problems - elastic case shape optimization of elastic/perfectly plastic bodies in contact on the design of the optimal covering supported by an obstacle state constrained optimal control problems and their approximations FE-grid optimization concluding remarks on references on optimal shape design and related topics. Appendices: algorithms for FEM on the differentation of stiffness and mass matrices and force vectors subgradient method for convex linearly constrained optimization description of the sequential quadratic programming (SQP) algorithm on the differentiability of a projection on a convex set in Hilbert space.
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