# Shape optimization by means of the penalty method with extrapolation

Applications of Mathematics (1994)

- Volume: 39, Issue: 6, page 449-477
- ISSN: 0862-7940

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topHlaváček, Ivan. "Shape optimization by means of the penalty method with extrapolation." Applications of Mathematics 39.6 (1994): 449-477. <http://eudml.org/doc/32897>.

@article{Hlaváček1994,

abstract = {A model shape optimal design in $\mathbb \{R\}^2$ is solved by means of the penalty method with extrapolation, which enables to obtain high order approximations of both the state function and the boundary flux, thus offering a reliable gradient for the sensitivity analysis. Convergence of the proposed method is proved for certain subsequences of approximate solutions.},

author = {Hlaváček, Ivan},

journal = {Applications of Mathematics},

keywords = {shape optimization; penalty method; extrapolation; finite elements; finite elements; error estimates; Poisson equation; optimal shape design; cost functionals; convergence; penalty method; extrapolation},

language = {eng},

number = {6},

pages = {449-477},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Shape optimization by means of the penalty method with extrapolation},

url = {http://eudml.org/doc/32897},

volume = {39},

year = {1994},

}

TY - JOUR

AU - Hlaváček, Ivan

TI - Shape optimization by means of the penalty method with extrapolation

JO - Applications of Mathematics

PY - 1994

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 39

IS - 6

SP - 449

EP - 477

AB - A model shape optimal design in $\mathbb {R}^2$ is solved by means of the penalty method with extrapolation, which enables to obtain high order approximations of both the state function and the boundary flux, thus offering a reliable gradient for the sensitivity analysis. Convergence of the proposed method is proved for certain subsequences of approximate solutions.

LA - eng

KW - shape optimization; penalty method; extrapolation; finite elements; finite elements; error estimates; Poisson equation; optimal shape design; cost functionals; convergence; penalty method; extrapolation

UR - http://eudml.org/doc/32897

ER -

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