Regularization of topology optimization problem by the FEM a posteriori error estimator
For researchers in topology optimization, this provides a new regularization technique to avoid numerical instabilities, though it is an incremental improvement over existing methods.
The paper proposes a modification of the discretized cost functional using a posteriori error estimator for FEM to prevent checkerboards and improve solution regularity and robustness in topology optimization.
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.