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 using 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, \emph{checkerboards} and
\emph{mesh dependent} designs.

Number of pages | 22 |
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Publication status | Published - 1999 |
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