Selfadjoint Extensions for the Elasticity System in Shape Optimization
Serguei A. Nazarov; Jan Sokołowski
Bulletin of the Polish Academy of Sciences. Mathematics (2004)
- Volume: 52, Issue: 3, page 237-248
- ISSN: 0239-7269
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topSerguei A. Nazarov, and Jan Sokołowski. "Selfadjoint Extensions for the Elasticity System in Shape Optimization." Bulletin of the Polish Academy of Sciences. Mathematics 52.3 (2004): 237-248. <http://eudml.org/doc/280779>.
@article{SergueiA2004,
abstract = {Two approaches are proposed to modelling of topological variations in elastic solids. The first approach is based on the theory of selfadjoint extensions of differential operators. In the second approach function spaces with separated asymptotics and point asymptotic conditions are introduced, and a variational formulation is established. For both approaches, accuracy estimates are derived.},
author = {Serguei A. Nazarov, Jan Sokołowski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {elasticity boundary value problem; singular perturbation of geometrical domain; selfadjoint extension; shape optimization; topological derivative of shape functional},
language = {eng},
number = {3},
pages = {237-248},
title = {Selfadjoint Extensions for the Elasticity System in Shape Optimization},
url = {http://eudml.org/doc/280779},
volume = {52},
year = {2004},
}
TY - JOUR
AU - Serguei A. Nazarov
AU - Jan Sokołowski
TI - Selfadjoint Extensions for the Elasticity System in Shape Optimization
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 3
SP - 237
EP - 248
AB - Two approaches are proposed to modelling of topological variations in elastic solids. The first approach is based on the theory of selfadjoint extensions of differential operators. In the second approach function spaces with separated asymptotics and point asymptotic conditions are introduced, and a variational formulation is established. For both approaches, accuracy estimates are derived.
LA - eng
KW - elasticity boundary value problem; singular perturbation of geometrical domain; selfadjoint extension; shape optimization; topological derivative of shape functional
UR - http://eudml.org/doc/280779
ER -
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