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MATLAB Implementation of C1 Finite Elements: Bogner-Fox-Schmit Rectangle

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Parallel Processing and Applied Mathematics (PPAM 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12044))

Abstract

Rahman and Valdman (2013) introduced a new vectorized way to assemble finite element matrices. We utilize underlying vectorization concepts and extend MATLAB codes to implementation of Bogner-Fox-Schmit C1 rectangular elements in 2D. Our focus is on the detailed construction of elements and simple computer demonstrations including energies evaluations and their visualizations.

The work was supported by the Czech Science Foundation (GACR) through the grant GA18-03834S.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Faculty of Science, University of South Bohemia, Branišovská 31, 37005, České Budějovice, Czech Republic

    Jan Valdman

  2. Institute of Information Theory and Automation, The Czech Academy of Sciences, Pod vodárenskou věží 4, 18208, Praha 8, Czech Republic

    Jan Valdman

Authors
  1. Jan Valdman
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Correspondence to Jan Valdman .

Editor information

Editors and Affiliations

  1. Czestochowa University of Technology, Czestochowa, Poland

    Roman Wyrzykowski

  2. University of Southern California, Marina del Rey, CA, USA

    Ewa Deelman

  3. University of Tennessee, Knoxville, TN, USA

    Jack Dongarra

  4. Czestochowa University of Technology, Czestochowa, Poland

    Konrad Karczewski

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Valdman, J. (2020). MATLAB Implementation of C1 Finite Elements: Bogner-Fox-Schmit Rectangle. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K. (eds) Parallel Processing and Applied Mathematics. PPAM 2019. Lecture Notes in Computer Science(), vol 12044. Springer, Cham. https://doi.org/10.1007/978-3-030-43222-5_22

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  • DOI: https://doi.org/10.1007/978-3-030-43222-5_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43221-8

  • Online ISBN: 978-3-030-43222-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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