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Formoptimierung elastischer Bauteile mit gewichteten B-Splines

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Springer Nature
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9783658132934
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Product Description

Florian Martin verbindet verschiedene Verfahren mit einer auf gewichteten B-Splines basierenden Finite-Elemente-Methode, um die optimale Form eines elastischen Bauteils unter Krafteinwirkung zu ermitteln. Durch den Wegfall der Vernetzung und die hohe Genauigkeit und Glattheit der B-Splines werden bei der Variation des Gebietsrandes whrend der Optimierung massive Geschwindigkeitsvorteile erzielt. Darber hinaus spielen B-Splines in vielen Bereichen der Naturwissenschaften und ihren zahlreichen Anwendungsgebieten, wie beispielsweise in der Computergrak, eine fundamentale Rolle. Insbesondere bei Finite-Elemente-Verfahren bieten diese gegenber klassischen Methoden zahlreiche Vorteile.

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