Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method

Hlaváček, Ivan. "Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method." Aplikace matematiky 35.3 (1990): 225-236. <http://eudml.org/doc/15628>.

@article{Hlaváček1990,
abstract = {An axisymmetric second order elliptic problem with mixed boundary conditions is considered. The shape of the domain has to be found so as to minimize a cost functional, which is given in terms of the cogradient of the solution. A new dual finite element method is used for approximate solutions. The existence of an optimal domain is proven and a convergence analysis presented.},
author = {Hlaváček, Ivan},
journal = {Aplikace matematiky},
keywords = {shape optimal design; finite elements; dual variational formulation; domain optimization; convergence; axisymmetric second order elliptic problem; dual approximate optimal design finite element problem; domain optimization; dual finite element method; convergence; axisymmetric second order elliptic problem; shape optimal design; dual variational formulation; dual approximate optimal design finite element problem},
language = {eng},
number = {3},
pages = {225-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method},
url = {http://eudml.org/doc/15628},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Hlaváček, Ivan
TI - Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 3
SP - 225
EP - 236
AB - An axisymmetric second order elliptic problem with mixed boundary conditions is considered. The shape of the domain has to be found so as to minimize a cost functional, which is given in terms of the cogradient of the solution. A new dual finite element method is used for approximate solutions. The existence of an optimal domain is proven and a convergence analysis presented.
LA - eng
KW - shape optimal design; finite elements; dual variational formulation; domain optimization; convergence; axisymmetric second order elliptic problem; dual approximate optimal design finite element problem; domain optimization; dual finite element method; convergence; axisymmetric second order elliptic problem; shape optimal design; dual variational formulation; dual approximate optimal design finite element problem
UR - http://eudml.org/doc/15628
ER -