Abstract
AbstractThe paper presents the use of the SMS system (Symbolic Mechanics System) for the automatic derivation and coding of sensitivity terms in finite element analysis. General symbolic derivation of analytical sensitivity terms for general mixed Galerkin‐collocation problems is difficult due to the complex (implicit) interactions between different levels of computation. The approach implemented in SMS avoids this problem by combining several techniques: symbolic capabilities of Mathematica, automatic differentiation technique, simultaneous optimisation of expressions and stochastic evaluation of the formulae.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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