School Colloquium——Topology optimization, theory, numerical methods and applications
2019-12-20 15:00-16:00 Room 1560, Sciences Building No. 1
Abstract: Topology optimization (TO) is a promising numerical technique for optimal engineering designs in many industrial applications. It is expected that it might become an unavoidable engineering tool for many new rising technologies such as the additive manufacturing or metal 3D printing. We propose an efficient and robust iterative thresholding method for topology optimization with applications to topology optimization of the Stokes fluids system. We demonstrate mathematically that the iterative algorithm has the total energy decaying property. It is simple and easy to implement. Extensive numerical experiments in both two and three dimensions show that the proposed iteration scheme is robust, efficient and insensitive to the initial guess and the parameters in the model. Generalization to heat transfer and biomechanics problems will also be discussed.