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A uniformly stable family of mixed hp-finite elements with continuous pressures for incompressible flow

Ainsworth, M. and Coggins, P. (2002) A uniformly stable family of mixed hp-finite elements with continuous pressures for incompressible flow. IMA Journal of Numerical Analysis, 22 (2). pp. 307-327. ISSN 0272-4979

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Abstract

A new family of mixed hp-finite elements is presented for the discretization of planar Stokes flow on meshes of curvilinear, quadrilateral elements. The elements involve continuous pressures and are shown to be stable with an inf-sup constant bounded below independently of the mesh-size h and the spectral order p. The spaces have balanced approximation properties - the orders of approximation in h and p are equal for both the velocity and the pressure. This is the first example of a uniformly stable method with continuous pressures for spectral element discretization of Stokes equations, valid for geometrically refined meshes and curvilinear elements.

Item type: Article
ID code: 75
Keywords: mixed finite element, hp-finite element, spectral method, incompressible flow, numerical analysis, Mathematics, Computational Mathematics, Applied Mathematics, Mathematics(all)
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Mr Derek Boyle
    Date Deposited: 21 Dec 2005
    Last modified: 04 Sep 2014 11:16
    URI: http://strathprints.strath.ac.uk/id/eprint/75

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