Speaker: Dr. Dohyun Kim (Brown University)
Time: 11:00-noon, August 22, Thursday
Place: Room 615 (ASTC)
Title: SiMPL: A fast adaptive structure-preserving topology optimization
Abstract:
We present a new method for topology optimization: Sigmoidal Mirror descent with a Projected Latent variable. SiMPL provides point-wise bound preserving design updates and faster convergence than other popular first-order topology optimization methods. Due to the strong bound preservation, the method is exceptionally robust, as demonstrated in numerous examples. Furthermore, it is easy to implement with clear structure and analytical expressions for the updates. Our analysis covers two versions of the method, characterized by the employed line search strategies. We consider a modified Armijo backtracking line search and a Bregman backtracking line search. Regardless of the line search algorithm, SiMPL is guaranteed to deliver a minimizing sequence of designs that converges to a stationary point of the compliance functional. In addition, the numerical experiments demonstrate apparent mesh-independent convergence of the algorithm.