hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation

Authors:
J. M. Melenk
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
2005

Citing 0
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Abstract

The quasi-interpolation operators of Clément and Scott--Zhang type are generalized to the setting of the hp-FEM (finite element method). New polynomial lifting and inverse estimates are presented. The classical residual based a posteriori error estimator is generalized to the hp-FEM.