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Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 519))

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Abstract

Elements which utilize higher than linear basis function variations of the unknown potential are well known and have been extensively studied over the last three decades. This is an instance where the use of finite elements in charged particle optics lags quite far behind its use in other subjects such as civil and mechanical engineering. Detailed studies have shown that in general, higher-order elements are more accurate than first-order elements, but that this advantage depends on the precise problem under investigation [1].

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References

  1. P. P. Silvester and R. L. Ferrari, “Finite Elements for Electrical Engineers”, Cambridge University Press, England, 2nd ed., 1983, Chapter 3, section 7, p88–90

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© 1999 Springer Science+Business Media New York

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Khursheed, A. (1999). High-Order Elements. In: The Finite Element Method in Charged Particle Optics. The Springer International Series in Engineering and Computer Science, vol 519. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5201-7_5

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  • DOI: https://doi.org/10.1007/978-1-4615-5201-7_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7369-8

  • Online ISBN: 978-1-4615-5201-7

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