Geodesic
On the numerical solution of axisymmetric domain optimization problems
Applications of Mathematics, Tome 36 (1991) no. 4, pp. 284-304.

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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.
DOI : 10.21136/AM.1991.104467
Classification : 49A22, 49K20, 49M15, 49Q10, 65K10, 65N30, 65N99
Keywords: shape optimization; axisymmetric elliptic problems; finite elements; cost functionals; convergence; piecewise linear approximations; numerical examples 
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     title = {On the numerical solution of axisymmetric domain optimization problems},
     journal = {Applications of Mathematics},
     pages = {284--304},
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Hlaváček, Ivan; Mäkinen, Raino. On the numerical solution of axisymmetric domain optimization problems. Applications of Mathematics, Tome 36 (1991) no. 4, pp. 284-304. doi : 10.21136/AM.1991.104467. http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104467/

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