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

M. Ainsworth, P. Coggins

Research output: Contribution to journalArticle

12 Citations (Scopus)

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.
LanguageEnglish
Pages307-327
Number of pages20
JournalIMA Journal of Numerical Analysis
Volume22
Issue number2
DOIs
Publication statusPublished - Apr 2002

Fingerprint

Hp Finite Elements
Incompressible flow
Mixed Finite Elements
Incompressible Flow
Mesh
Discretization
Spectral Elements
Quadrilateral Element
Order of Approximation
Stokes Equations
Stokes Flow
Approximation Property
Valid
Family

Keywords

  • mixed finite element
  • hp-finite element
  • spectral method
  • incompressible flow
  • numerical analysis

Cite this

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A uniformly stable family of mixed hp-finite elements with continuous pressures for incompressible flow. / Ainsworth, M.; Coggins, P.

In: IMA Journal of Numerical Analysis, Vol. 22, No. 2, 04.2002, p. 307-327.

Research output: Contribution to journalArticle

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AU - Coggins, P.

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KW - mixed finite element

KW - hp-finite element

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KW - incompressible flow

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