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A-posteriori error estimators and RFB

Abstract:

We derive a posteriori bounds for the residual-free bubble (RFB) method for the solution of convection-dominated diffusion equations. Both linear functional error control and energy norm error control are considered. The implementation of a reliable and efficient $h$ adaptive algorithm is discussed. Finally, we proposed an $hb$ adaptive algorithm in which the local bubble stabilisation is automatically turned off ($b$ derefinement) in large parts of the computational domain during the $h$ ref...

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Publication date:
2004-09-05
URN:
uuid:02cdfeb0-dbd6-42fa-9db7-1185cf68fb79
Local pid:
oai:eprints.maths.ox.ac.uk:1164

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