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Non-Conforming hp Finite Element Methods for Stokes Problems

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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

In this paper, we present a non-conforming hp finite element formulation for the Stokes boundary value problem for viscous incompressible fluid flow in primal velocity-pressure variables. Within each subdomain the local approximation is designed using div-stable hp-mixed finite elements. We demonstrate via numerical experiments that the non-conforming method is optimal for various h, p and hp discretizations, including the case of exponential hp convergence over geometric meshes.

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Author information

Authors and Affiliations

  1. Mathématiques pour l’Industrie et la Physique, Université Paul Sabatier, 118 route de Narbonne, 31062, Toulouse Cedex 04, France

    Faker Ben Belgacem

  2. Department of Mathematics and Statistics, Air Force Institute of Technology, 2950 P Street, Bldg 640 WPAFB, OH, 45433, USA

    Lawrence K. Chilton

  3. Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, 79409-1042, USA

    Padmanabhan Seshaiyer

Authors
  1. Faker Ben Belgacem
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  2. Lawrence K. Chilton
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  3. Padmanabhan Seshaiyer
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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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Belgacem, F.B., Chilton, L.K., Seshaiyer, P. (2002). Non-Conforming hp Finite Element Methods for Stokes Problems. 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_8

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  • DOI: https://doi.org/10.1007/978-3-642-56118-4_8

  • 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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