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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© 2003 Springer-Verlag Berlin Heidelberg
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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. https://doi.org/10.1007/978-3-540-36527-3_21
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DOI: https://doi.org/10.1007/978-3-540-36527-3_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05633-8
Online ISBN: 978-3-540-36527-3
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