Journal of Japan Society of Fluid Mechanics
Online ISSN : 2185-4912
Print ISSN : 0286-3154
ISSN-L : 0286-3154
On the Numerical Stability of Residual-Free Bubbles for the Stokes Equation
Hiroshi OKUMURAAkira MARUOKA
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2006 Volume 25 Issue 5 Pages 455-463

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Abstract
We present a two-level finite element method (TLFEM) with triangle element enriched with residual-free bubble (RFB) functions for the Stokes equations. For approximating solutions of RFB in each triangle element, we propose an auxiliary problem with a corrector to stabilize the pressure field. Finally we discuss the numerical stability of RFB for diffusion dominated flows in the mixed variational problem through some numerical experiments.
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