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Implementation Aspects of a Recovery-Based Error Estimator in Finite Element Analysis

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Parallel Processing and Applied Mathematics (PPAM 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3019))

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Abstract

The paper is devoted to the use of error estimators based on gradient recovery in finite element computations, where the resulting error estimates can be used as the basis for hp-adaptive mesh refinement. Due to high complexity of adaptive numerical software we have decided to take advantage of the object-oriented paradigm of software development. We discuss our implementation of the Zienkiewicz-Zhu error estimator and of selected gradient recovery techniques (averaging and superconvergent patch recovery).

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References

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Author information

Authors and Affiliations

  1. Institute of Computer and Information Sciences, Czȩstochowa University of Technology, Da̧browskiego 73, 42 200, Czȩstochowa, Poland

    Arkadiusz Nagórka & Norbert Sczygiol

Authors
  1. Arkadiusz Nagórka
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  2. Norbert Sczygiol
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Editor information

Editors and Affiliations

  1. Institute of Computational and Information Sciences, Czestochowa University of Technology,  

    Roman Wyrzykowski

  2. Computer Science Department, University of Tennessee, TN 37996-3450, Knoxville, USA

    Jack Dongarra

  3. Systems Research Institute, Polish Academy of Science, Warsaw, Poland

    Marcin Paprzycki

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

    Jerzy Waśniewski

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© 2004 Springer-Verlag Berlin Heidelberg

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Nagórka, A., Sczygiol, N. (2004). Implementation Aspects of a Recovery-Based Error Estimator in Finite Element Analysis. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_95

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  • DOI: https://doi.org/10.1007/978-3-540-24669-5_95

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21946-0

  • Online ISBN: 978-3-540-24669-5

  • eBook Packages: Springer Book Archive

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