Guaranteed and robust error bounds for nonconforming approximations of elliptic problems

We present guaranteed, robust and computable a posteriori error estimates for nonconforming approximations of elliptic problems. Our analysis is based on a Helmholtz-type decomposition of the error expressed in terms of fluxes. Such a decomposition results in a gradient term and a divergence-free te...

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Veröffentlicht in:	IMA journal of numerical analysis 2011-04, Vol.31 (2), p.597-615
Hauptverfasser:	Repin, S. I., Tomar, S. K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Computational efficiency Decomposition Errors Estimates Exact solutions Mathematical analysis Norms
Online-Zugang:	Volltext
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