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Finite element approximations of some central curves

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Numerical Analysis and Its Applications (WNAA 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1196))

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Abstract

The aim of this paper is to obtain the conditions of applicability of FLAC3 finite elements in the plane. Some approximate properties and applications are discussed.

This work is partially supported by the Bulgarian Ministry of Science and Technologies, Contract MM-524/95.

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References

  1. Argyris, J., Mlejnek, H.-P.: Finite element methods. Friedr. Vieweg & Sohn, Braunschweig / Wiesbaden, 1986 (In German)

    Google Scholar 

  2. Andreev, A.B., Lazarov, R.D.: Superconvrgence of the gradient for quadratic triangular finite elements. Numer. Meth. for PDE, USA, 4 (1988) 15–32

    Google Scholar 

  3. Lebaud, M.P.: Error estimate in an isoparametric finite element eigenvalue problem. Math. of Computation 63 (1994) 19–40

    Google Scholar 

  4. Zlamal, M.: Curved elements in the finite element method I. SIAM J. Numer. Analysis 10 (1973) 229–240

    Google Scholar 

  5. Zlamal, M.: Curved elements in the finite element method II. SIAM J. Numer. Analysis 11 (1974) 347–368

    Google Scholar 

  6. Grisvard, P.: Eliptic problems in nonsmooth domains. Pitman Advanced Publishing Program, 1985

    Google Scholar 

  7. Ciarlet, P.G.: The finite element method for eliptic problems. North-Holland, Amsterdam, 1978

    Google Scholar 

  8. Frey, A.E., Hall, C.A., Porsching, T.A.: Some results on the global inversion of bilinear and quadratic isoparametric finite element transformations. Mathematics of computation 32 (1978) 725–749

    Google Scholar 

  9. Mitchell, A.R., Wait, R.: The finite element method in partial differential equations. Weley, New York, 1977

    Google Scholar 

  10. Todorov, T.D.: Invertibility of isoparametric finite element transformations associated with finite elements with two curved sides. Fifth international conference on differential equations and applications-CDEV, Rousse, Bulgaria, August 24–29, 1995

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Technical University of Gabrovo, Bulgaria

    Andrey B. Andreev & Todor D. Todorov

Authors
  1. Andrey B. Andreev
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  2. Todor D. Todorov
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Editor information

Lubin Vulkov Jerzy Waśniewski Plamen Yalamov

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© 1997 Springer-Verlag Berlin Heidelberg

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Andreev, A.B., Todorov, T.D. (1997). Finite element approximations of some central curves. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_75

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  • DOI: https://doi.org/10.1007/3-540-62598-4_75

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62598-8

  • Online ISBN: 978-3-540-68326-1

  • eBook Packages: Springer Book Archive

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