The Mathematical Institute, University of Oxford, Eprints Archive

A-posteriori error estimators and RFB

Cangiani, Andrea and Suli, Endre (2004) A-posteriori error estimators and RFB. Technical Report. Unspecified. (Submitted)

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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 $h$ refinement process, without compromising the accuracy of the method.

The first author acknowledges the financial support of INdAM and EPSRC.

Item Type:Technical Report (Technical Report)
Subjects:D - G > Fluid mechanics
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1164
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:45
Last Modified:14 May 2011 08:45

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