Abstract:
Numerical instabilities are often encountered in FE solution of
continuum topology optimization. The essence of the numerical
instabilities is given from the inverse partial differential
equation (PDE) point of view. On the basis of the strict
mathematical theory, a novel method, named as window filter and
multi-grid method, which solves the numerical instabilities, is
proposed. Convergent analyses and a numerical example are
presented.
Key words:
Topology optimization Gaussian windows Checkerboard pattern
* This project is supported by
National Natural Science Foundation of China (No.59975015) and Doctoral
Foundation of Ministry of state Education of China (No.1999014102).
Received November 17, 2000; received in revised form April 9, 2001;
accepted August 23, 2001
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