Filters in topology optimization
Copyright policy )Filters in topology optimization
AbstractIn 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 © 2001 John Wiley & Sons, Ltd.
- New York University United States
- Courant Institute of Mathematical Sciences United States
- Technical University of Denmark Denmark
Topological methods for optimization problems in solid mechanics, convergence, Finite element methods applied to problems in solid mechanics, convolution operator, existence of solutions, mesh dependence, regularized density field, minimum compliance topology optimization, finite element approximation, filtering technique, regularization method
Topological methods for optimization problems in solid mechanics, convergence, Finite element methods applied to problems in solid mechanics, convolution operator, existence of solutions, mesh dependence, regularized density field, minimum compliance topology optimization, finite element approximation, filtering technique, regularization method
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