Regularization of topology optimization problem by the FEM a posteriori error estimator

Abstract

In our work, we consider the classical density-based approach to topology optimization. We propose the modification of the discretized cost/objective functional using a posteriori error estimator for the finite element method. It can be regarded as a new technique to prevent checkerboards. It also provides higher regularity of the solutions and robustness of the results.

arXiv commentThis old version of the manuscript is replaced by arXiv:1712.03017