Structural optimization with FreeFem++

G. Allaire; O. Pantz

doi:10.1007/s00158-006-0017-y

Structural optimization with FreeFem++

G. Allaire
, O. Pantz

Ecole polytechnique

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to show that relatively small, simple, and efficient shape optimization routines can be written using the free finite element software FreeFem++. This is illustrated by the implementation of two classical methods: the boundary variation method and the homogenization one. Even though these routines are simple enough so that their implementation can be assigned (partially or totally) as homework to graduate students, they yield results accurate enough to be useful tools for engineers or researchers.

Original language	English
Pages (from-to)	173-181
Number of pages	9
Journal	Structural and Multidisciplinary Optimization
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/s00158-006-0017-y
Publication status	Published - 1 Sept 2006

Keywords

Finite element software
Shape and topology optimization

Access to Document

10.1007/s00158-006-0017-y

Cite this

@article{97587b617f7e462dafc7b983332641fe,

title = "Structural optimization with FreeFem++",

abstract = "The aim of this paper is to show that relatively small, simple, and efficient shape optimization routines can be written using the free finite element software FreeFem++. This is illustrated by the implementation of two classical methods: the boundary variation method and the homogenization one. Even though these routines are simple enough so that their implementation can be assigned (partially or totally) as homework to graduate students, they yield results accurate enough to be useful tools for engineers or researchers.",

keywords = "Finite element software, Shape and topology optimization",

author = "G. Allaire and O. Pantz",

year = "2006",

month = sep,

day = "1",

doi = "10.1007/s00158-006-0017-y",

language = "English",

volume = "32",

pages = "173--181",

journal = "Structural and Multidisciplinary Optimization",

issn = "1615-147X",

number = "3",

}

TY - JOUR

T1 - Structural optimization with FreeFem++

AU - Allaire, G.

AU - Pantz, O.

PY - 2006/9/1

Y1 - 2006/9/1

N2 - The aim of this paper is to show that relatively small, simple, and efficient shape optimization routines can be written using the free finite element software FreeFem++. This is illustrated by the implementation of two classical methods: the boundary variation method and the homogenization one. Even though these routines are simple enough so that their implementation can be assigned (partially or totally) as homework to graduate students, they yield results accurate enough to be useful tools for engineers or researchers.

AB - The aim of this paper is to show that relatively small, simple, and efficient shape optimization routines can be written using the free finite element software FreeFem++. This is illustrated by the implementation of two classical methods: the boundary variation method and the homogenization one. Even though these routines are simple enough so that their implementation can be assigned (partially or totally) as homework to graduate students, they yield results accurate enough to be useful tools for engineers or researchers.

KW - Finite element software

KW - Shape and topology optimization

U2 - 10.1007/s00158-006-0017-y

DO - 10.1007/s00158-006-0017-y

M3 - Article

AN - SCOPUS:33746652236

SN - 1615-147X

VL - 32

SP - 173

EP - 181

JO - Structural and Multidisciplinary Optimization

JF - Structural and Multidisciplinary Optimization

IS - 3

ER -

Structural optimization with FreeFem++

Abstract

Keywords

Access to Document

Fingerprint

Cite this