Reading Course: A Monotone Spectral Gradient Method for (Linear) Elastic Problems
We consider the minimum compliance problem in the context of linear elastic topology optimization problems und show how to use classcial gradient-based optimization methods e.g. the optimality criteria method and the feasible direction method to solve it. A Helmholtz-based sensitivity filter is used to guarantee the existence of a solution and for avoiding the formation of checkerboard patterns. Since the goal of the presented work is to provide a framework for solving non-linear elastic topology optimization problems, we use algorithmic differentiation already in the linear case. We compare the numerical results of the different gradient-based optimization methods.