Stable nonconforming methods or the Stokes problem

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It is the purpose of this paper to show that the mixed finite element scheme with pressure stabilization for the Stokes problem converges with an optimal order for some higher order nonconforming triangular elements. Specifically an optimal order convergence is given for the NCP4-P-3 element using nonconforming piecewise quartic velocities paired with discontinuous piecewise cubic pressures. The NCP6-P-5 element is analyzed similarly. To verify the stability condition and the error estimates for nonconforming elements, we combine the ideas of macroelement technique of Stenberg and the arguments for Galerkin least squares methods. (C) 2000 Elsevier Science Inc. All rights reserved.
Publisher
ELSEVIER SCIENCE INC
Issue Date
2000-09
Language
English
Article Type
Article
Keywords

FINITE-ELEMENT METHODS; ERROR ANALYSIS; EQUATIONS

Citation

APPLIED MATHEMATICS AND COMPUTATION, v.114, no.2-3, pp.155 - 174

ISSN
0096-3003
URI
http://hdl.handle.net/10203/75310
Appears in Collection
MA-Journal Papers(저널논문)
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