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On Baumgarte Stabilization for Differential Algebraic Equations

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Real-Time Integration Methods for Mechanical System Simulation

Part of the book series: NATO ASI Series ((NATO ASI F,volume 69))

Abstract

Baumgarte’s method uses analytical reformulations of constraint forces in mechanical systems to handle differential algebraic equations with every standard integration routine. This stabilization technique for inner and outer constraints is easy to use.

This paper deals with control theoretic aspects to explain the effects of Baumgarte’s method and to give some rules for choosing the parameters in his technique. In addition the construction of new stabilizing procedures is described and some optimal formulas are listed at the end of this paper.

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References

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© 1990 Springer-Verlag Berlin Heidelberg

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Ostermeyer, GP. (1990). On Baumgarte Stabilization for Differential Algebraic Equations. In: Haug, E.J., Deyo, R.C. (eds) Real-Time Integration Methods for Mechanical System Simulation. NATO ASI Series, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76159-1_10

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  • DOI: https://doi.org/10.1007/978-3-642-76159-1_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76161-4

  • Online ISBN: 978-3-642-76159-1

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