# A penalty method for topology optimization subject to a pointwise state constraint

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 16, Issue: 3, page 523-544
- ISSN: 1292-8119

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topAmstutz, Samuel. "A penalty method for topology optimization subject to a pointwise state constraint." ESAIM: Control, Optimisation and Calculus of Variations 16.3 (2010): 523-544. <http://eudml.org/doc/250726>.

@article{Amstutz2010,

abstract = {
This paper deals with topology optimization of domains subject to a pointwise constraint on the gradient of the state. To realize this constraint, a class of penalty functionals is introduced and the expression of the corresponding topological derivative is obtained for the Laplace equation in two space dimensions. An algorithm based on these concepts is proposed. It is illustrated by some numerical applications.
},

author = {Amstutz, Samuel},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Topology optimization; topological derivative; penalty methods; pointwise state constraints; topology optimization},

language = {eng},

month = {7},

number = {3},

pages = {523-544},

publisher = {EDP Sciences},

title = {A penalty method for topology optimization subject to a pointwise state constraint},

url = {http://eudml.org/doc/250726},

volume = {16},

year = {2010},

}

TY - JOUR

AU - Amstutz, Samuel

TI - A penalty method for topology optimization subject to a pointwise state constraint

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/7//

PB - EDP Sciences

VL - 16

IS - 3

SP - 523

EP - 544

AB -
This paper deals with topology optimization of domains subject to a pointwise constraint on the gradient of the state. To realize this constraint, a class of penalty functionals is introduced and the expression of the corresponding topological derivative is obtained for the Laplace equation in two space dimensions. An algorithm based on these concepts is proposed. It is illustrated by some numerical applications.

LA - eng

KW - Topology optimization; topological derivative; penalty methods; pointwise state constraints; topology optimization

UR - http://eudml.org/doc/250726

ER -

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