A Two-Grid Binary Level Set Method for Eigenvalue Optimization

Two-grid methods are popular and efficient discretization techniques for solving nonlinear problems. In this paper, we propose a new two-grid binary level set method for eigenvalue optimization. An efficient yet effective two-grid finite element method is used to solve the nonlinear eigenvalue problem in two topology optimization models. By the binary level set method, the algorithm can perform topological and shape changes. Numerical examples are presented to illustrate the effectiveness and efficiency of the algorithm.