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Discrete Empirical Interpolation Method for Finite Element Structural Dynamics

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Topics in Nonlinear Dynamics, Volume 1

Part of the book series: Conference Proceedings of the Society for Experimental Mechanics Series ((CPSEMS,volume 35))

Abstract

Model Order Reduction (MOR) in nonlinear structural analysis problems in usually carried out by a Galerkin projection of the primary variables on a sensibly smaller space. However, the cost of computing the nonlinear terms is still of the order of the full system. The Discrete Empirical Interpolation Method is an effective algorithm to reduce the computational of the nonlinear term. However, its efficiency is diminished when applied to a Finite Element (FE) framework. We present here an alternative formulation of the DEIM that suits an FE formulation and preserves the efficiency of the method.

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References

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Correspondence to Paolo Tiso .

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© 2013 The Society for Experimental Mechanics, Inc.

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Tiso, P., Rixen, D.J. (2013). Discrete Empirical Interpolation Method for Finite Element Structural Dynamics. In: Kerschen, G., Adams, D., Carrella, A. (eds) Topics in Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6570-6_18

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  • DOI: https://doi.org/10.1007/978-1-4614-6570-6_18

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6569-0

  • Online ISBN: 978-1-4614-6570-6

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