Non-Conforming hp Finite Element Methods for Stokes Problems

  • Faker Ben Belgacem
  • Lawrence K. Chilton
  • Padmanabhan Seshaiyer
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 23)


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.


Finite Element Method Stokes Problem Radical Mesh Optimal Convergence Rate Reentrant Corner 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Faker Ben Belgacem
    • 1
  • Lawrence K. Chilton
    • 2
  • Padmanabhan Seshaiyer
    • 3
  1. 1.Mathématiques pour l’Industrie et la PhysiqueUniversité Paul SabatierToulouse Cedex 04France
  2. 2.Department of Mathematics and StatisticsAir Force Institute of TechnologyUSA
  3. 3.Department of Mathematics and StatisticsTexas Tech UniversityLubbockUSA

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