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shape optimization; axisymmetric elliptic problems; finite elements; cost functionals; convergence; piecewise linear approximations; numerical examples
An axisymmetric second order elliptic problem with mixed boundarz conditions is considered. A part of the boundary has to be found so as to minimize one of four types of cost functionals. The numerical realization is presented in detail. The convergence of piecewise linear approximations is proved. Several numerical examples are given.
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