English

Robust topology optimization using a posteriori error estimator for the finite element method

Numerical Analysis 2018-04-03 v4

Abstract

In our work, we consider the classical density-based approach to the topology optimization. We propose to modify the discretized cost 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 solutions and robustness of results.

Keywords

Cite

@article{arxiv.1712.03017,
  title  = {Robust topology optimization using a posteriori error estimator for the finite element method},
  author = {Vladislav Pimanov and Ivan Oseledets},
  journal= {arXiv preprint arXiv:1712.03017},
  year   = {2018}
}
R2 v1 2026-06-22T23:12:10.486Z