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The described method is computationally efficient with stable convergence of less than five iterations.
Using the globalization strategy, stable convergence of the one-shot approach is achieved.
The proposed approach has superior features, including: easy implementation; stable convergence characteristics; and good computational efficiency.
Our proofs are based on a blocking technique and a stable convergence theorem for semimartingales.
From Figure 7, we can confirm the stable convergence of all the hyperparameters.
It not only has stable convergence, but it also shows an effective numerical experiment result.
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Rapid, stable convergences as well as high accuracy are obtained by the present method.
We have tested the methods on several examples and have obtained fast, stable, robust convergence.
Moreover, smooth and stable numerical convergence were observed, which indicates the numerical stability of the presented optimization scheme.
Using Lyapunov stability theory and Barbalat's lemma, the closed-loop system is proved to be stable and convergence properties of the system is assured.
To validate the usefulness of the developed approaches, we solved some benchmark topology optimization problems and found that the present method provides physically appropriate layouts with stable optimization convergence.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com