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The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods

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Recent Developments in Domain Decomposition Methods

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 23))

Abstract

The paper is concerned with the mortar finite element discretization of scalar elliptic equations in three dimensions. The attention is focused on the influence of quadrature formulas on the discretization error. We show numerically that the optimality of the method is preserved if suitable quadrature formulas are used.

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References

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Author information

Authors and Affiliations

  1. Laboratoire d’Analyse Numérique, Paris 6 University, Boîte courrier 187, 75252, Paris cedex 05, France

    Yvon Maday & Francesca Rapetti

  2. Mathematisches Institut A, Universität Stuttgart, Pfaffenwaldring 57, 70 569, Stuttgart, Germany

    Barbara I. Wohlmuth

Authors
  1. Yvon Maday
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  2. Francesca Rapetti
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  3. Barbara I. Wohlmuth
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Milano, Via C. Saldini 50, 20133, Milano, Italy

    Luca F. Pavarino

  2. Seminar for Applied Mathematics, ETH Zürich, Rämistraße 101, 8092, Zürich, Switzerland

    Andrea Toselli

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© 2002 Springer-Verlag Berlin Heidelberg

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Maday, Y., Rapetti, F., Wohlmuth, B.I. (2002). The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods. In: Pavarino, L.F., Toselli, A. (eds) Recent Developments in Domain Decomposition Methods. Lecture Notes in Computational Science and Engineering, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56118-4_13

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  • DOI: https://doi.org/10.1007/978-3-642-56118-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43413-9

  • Online ISBN: 978-3-642-56118-4

  • eBook Packages: Springer Book Archive

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