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Mixed HP -finite element approximations on geometric edge and boundary layer meshes in three dimensions

Toselli, Andrea ; Schwab, Christoph

In: Numerische Mathematik, 2003, vol. 94, no. 4, p. 771-801

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    Title
    • Mixed HP -finite element approximations on geometric edge and boundary layer meshes in three dimensions
    Author
    • Toselli, Andrea. Seminar for Applied Mathematics, ETH Zürich, Rämistrasse 101, CH-8092, Zürich, Switzerland
    • Schwab, Christoph. Seminar for Applied Mathematics, ETH Zürich, Rämistrasse 101, CH-8092, Zürich, Switzerland
    Document Type
    • Postprint
    Classification
    • Computer science
    OAI-PMH Identifier
    • oai:doc.rero.ch:320546
    Summary
    Summary: In this paper, we consider the Stokes problem in a three-dimensional polyhedral domain discretized with hp finite elements of type Qk for the velocity and Qk-2 for the pressure, defined on hexahedral meshes anisotropically and non quasi-uniformly refined towards faces, edges, and corners. The inf-sup constant of the discretized problem is independent of arbitrarily large aspect ratios. Our work generalizes a recent result for two-dimensional problems in [10, 11]