Taylor-Hood elements in 3D

  • Christian Wieners
Conference paper

DOI: 10.1007/978-3-540-36527-3_21

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 12)
Cite this paper as:
Wieners C. (2003) Taylor-Hood elements in 3D. In: Wendland W., Efendiev M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg

Abstract

Taylor-Hood elements in 3D yield a stable finite element discretization for saddle point problems on meshes consisting of hexahedra, prisms, pyramids, and tetrahedra. Therefore, they can be used for adaptive computations on locally refined hexahedral meshes with a conforming closure by pyramidal elements. In this paper we present a suitable construction of conforming pyramidal shape functions, and we establish a corresponding inf-sup condition.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Christian Wieners
    • 1
  1. 1.Institut für Angewandte MathematikUniversität Erlangen-NürnbergErlangenGermany

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