Structural optimization with FreeFem plus

Grégoire Allaire

doi:10.1007/s00158-006-0017-y

2006-07-08

PRE

Grégoire Allaire *

Olivier Pantz

DOI：10.1007/s00158-006-0017-y

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摘要

En 中文

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.

Keyword:

shape and topology optimization

finite element software