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

TL;DR

This paper introduces a novel topology optimization method that incorporates a posteriori error estimators to enhance solution regularity and robustness, effectively preventing checkerboard patterns in finite element analysis.

Contribution

The paper presents a new technique integrating a posteriori error estimators into density-based topology optimization to improve solution quality and stability.

Findings

Reduces checkerboard patterns in optimized designs

Enhances regularity and robustness of solutions

Provides a new approach to topology optimization

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.