Cangiani, Andrea and Suli, Endre (2004) A-posteriori error estimators and RFB. Technical Report. Unspecified. (Submitted)
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 adaptive algorithm is discussed. Finally, we proposed an adaptive algorithm in which the local bubble stabilisation is automatically turned off ( derefinement) in large parts of the computational domain during the 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|
|Deposited By:||Lotti Ekert|
|Deposited On:||14 May 2011 08:45|
|Last Modified:||14 May 2011 08:45|
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