Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 50, Issue 9, Pages 2143-2158Publisher
JOHN WILEY & SONS LTD
DOI: 10.1002/nme.116
Keywords
topology optimization; regularization method; convolution; finite element approximation; existence of solutions
Ask authors/readers for more resources
In this article, a modified ('filtered') version of the minimum compliance topology optimization problem is studied. The direct dependence of the material properties on its pointwise density is replaced by a regularization of the density field by the mean of a convolution operator. In this setting it is possible to establish the existence of solutions. Moreover, convergence of an approximation by means of finite elements can be obtained. This is illustrated through some numerical experiments. The 'filtering' technique is also shown to cope with two important numerical problems in topology optimization, checkerboards and mesh dependent designs. Copyright (C) 2001 John Wiley & Sons, Ltd.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available