Topology optimization in wavelet space

We investigate the use of wavelet methods for the design description in topology optimization. This is a new setting for topology optimization that does not take the material densities in the elements of the 9nite element model as the design space. This new approach has advantages and limitations which are discussed. It is shown how the control of wavelet coe:cients can be used to prevent the formation of checkerboard patterns and to obtain some geometry control. Problems related to overlapping basis functions are analysed and solution methods are proposed. Examples of optimized designs using the described methods are given