Domain optimization in axisymmetric elliptic boundary value problems by finite elements
Hlaváček, Ivan
Applications of Mathematics, Tome 33 (1988), p. 213-244 / Harvested from Czech Digital Mathematics Library
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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 existence of an optimal boundary is proven and a convergence analysis for piecewise linear approximate solutions presented, using weighted Sobolev spaces.

Publié le : 1988-01-01
Classification:  35J25,  49A22,  65K10,  65N30,  65N99 
@article{104304,
     author = {Ivan Hlav\'a\v cek},
     title = {Domain optimization in axisymmetric elliptic boundary value problems by finite elements},
     journal = {Applications of Mathematics},
     volume = {33},
     year = {1988},
     pages = {213-244},
     zbl = {0677.65102},
     mrnumber = {0944785},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104304}
}

Hlaváček, Ivan. Domain optimization in axisymmetric elliptic boundary value problems by finite elements. Applications of Mathematics, Tome 33 (1988) pp. 213-244. http://gdmltest.u-ga.fr/item/104304/

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