NAMar 31, 2018
Robust topology optimization using a posteriori error estimator for the finite element methodVladislav Pimanov, Ivan Oseledets
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.
NAFeb 26, 2018
Regularization of topology optimization problem by the FEM a posteriori error estimatorVladislav Pimanov, Ivan Oseledets
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.