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One-Dimensional Patch-Recovery Finite Element Method for Fourth-Order Elliptic Problems

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

Interpolated one-dimensional finite elements are constructed and applied to the fourth-order self-adjoint elliptic boundary-value problems. A superconvergence postprocessing approach, based on the patch-recovery method, is presented. It is proved that the rate of convergence depends on the different variational forms related to the variety of the corresponding elliptic operators. Finally, numerical results are presented.

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References

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Author information

Authors and Affiliations

  1. Technical University of Gabrovo,  

    Andrey B. Andreev & Milena R. Racheva

  2. IPP – Bulgarian Academy of Sciencies,  

    Andrey B. Andreev & Ivan Todor Dimov

Authors
  1. Andrey B. Andreev
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  2. Ivan Todor Dimov
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  3. Milena R. Racheva
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Editor information

Editors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2005 Springer-Verlag Berlin Heidelberg

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Andreev, A.B., Dimov, I.T., Racheva, M.R. (2005). One-Dimensional Patch-Recovery Finite Element Method for Fourth-Order Elliptic Problems. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_11

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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