期刊
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
卷 19, 期 3, 页码 214-224出版社
SPRINGER
DOI: 10.1007/s001580050104
关键词
topology optimization; multigrid methods; interior point methods; smoothing algorithms; checkerboard suppression
In this paper, a new multigrid interior point approach to topology optimization problems in the context of the homogenization method is presented. The key observation is that nonlinear interior point methods lead to linear-quadratic subproblems with structures that can be favourably exploited within multigrid methods. Primal as well as primal-dual formulations are discussed. The multigrid approach is based on the transformed smoother paradigm. Numerical results for an example problem are presented.
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