Weighted error estimates of the continuous interior penalty method for singularly perturbed problems

In this paper, we analyse local properties of the continuous interior penalty (CIP) method for a model convection-dominated singularly perturbed convection–diffusion problem. We show weighted a priori error estimates, where the weight function exponentially decays outside the subdomain of interest....

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Veröffentlicht in:	IMA journal of numerical analysis 2009-04, Vol.29 (2), p.284-314
Hauptverfasser:	Burman, Erik, Guzmán, Johnny, Leykekhman, Dmitriy
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control continuous interior penalty method convection–diffusion Exact sciences and technology local error analysis Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Sciences and techniques of general use singularly perturbed Special functions
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