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A Posteriori Error Estimation by a Q 1 ∕ Q 2 Hierarchical Basis

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • M. Braack

    (Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar)

  • N. Taschenberger

    (Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar)

Abstract

This work presents an a posteriori error estimation technique for Q 1 finite elements on quadrilateral triangulations by residual evaluations with respect to biquadratic test functions. The localization is performed in terms of nodal error indicators instead of cell contributions. The reliability and efficiency of the estimator is shown. Further, we discuss a simplified estimator which is even more attractive from the computational point of view.

Suggested Citation

  • M. Braack & N. Taschenberger, 2013. "A Posteriori Error Estimation by a Q 1 ∕ Q 2 Hierarchical Basis," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 23-31, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_3
    DOI: 10.1007/978-3-642-33134-3_3
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