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Mixed finite element methods with discontinuous pressures for the axisymmetric Stokes problem
Author(s) -
Ruas V.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310032
Subject(s) - rotational symmetry , stokes problem , sobolev space , finite element method , mathematics , discontinuous galerkin method , mathematical analysis , geometry , physics , thermodynamics
Two methods for solving the Stokes system in the axisymmetric case are studied. Both are designed for the standard Galerkin formulation, and use discontinuous pressure spaces. The first method is a rectangular based Q 2 ‐ P 1 method due to Fortin. The other one is the so‐called Crouzeix‐Raviart triangle. Both methods are proven to be second order convergent in the natural weighted Sobolev norms, for the system under consideration.