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Finite Elements for the Beltrami operator on arbitrary surfaces

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1357))

Abstract

We develop a Finite Element Method for elliptic differential equations on arbitrary two-dimensional surfaces. Global para metrizations are avoided. We prove asymptotic error estimates. Numerical examples are calculated.

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References

  1. Aubin, Th.: Nonlinear Analysis on Manifolds. Monge-Ampère Equations (1982) New York-Heidelberg-Berlin

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Stefan Hildebrandt Rolf Leis

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© 1988 Springer-Verlag

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Dziuk, G. (1988). Finite Elements for the Beltrami operator on arbitrary surfaces. In: Hildebrandt, S., Leis, R. (eds) Partial Differential Equations and Calculus of Variations. Lecture Notes in Mathematics, vol 1357. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082865

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  • DOI: https://doi.org/10.1007/BFb0082865

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50508-2

  • Online ISBN: 978-3-540-46024-4

  • eBook Packages: Springer Book Archive

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