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

## TL;DR

This paper introduces a novel regularization technique for topology optimization that employs a posteriori finite element error estimators to improve solution quality and prevent checkerboard patterns.

## Contribution

The authors propose a new regularization method based on FEM a posteriori error estimators to enhance topology optimization results and suppress checkerboard artifacts.

## Key findings

- Reduces checkerboard patterns in optimized topologies
- Provides higher regularity of solutions
- Increases robustness of the optimization results

## 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.

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Source: https://tomesphere.com/paper/1706.03517