On the numerical solution of axisymmetric domain optimization problems. (English) Zbl 0745.65044

Summary: An axisymmetric second order elliptic problem with mixed boundary 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.


65K10 Numerical optimization and variational techniques
49M15 Newton-type methods
49K20 Optimality conditions for problems involving partial differential equations


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