Error estimates for some quasi-interpolation operators
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 33, Issue: 4, page 695-713
- ISSN: 0764-583X
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topVerfürth, Rüdiger. "Error estimates for some quasi-interpolation operators." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 695-713. <http://eudml.org/doc/197519>.
@article{Verfürth2010,
abstract = {
We derive explicit bounds on the constants
in error estimates for two quasi-interpolation operators which are
modifications of the “classical” Clément-operator.
These estimates are crucial for making explicit the
constants which appear in popular a posteriori error
estimates. They are also compared with corresponding
estimates for the standard nodal interpolation operator.
},
author = {Verfürth, Rüdiger},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = { Interpolation error estimates;
quasi-interpolation operators.; error bounds; quasi-interpolation operators; Clément-operator; a posteriori error estimates; nodal interpolation operator},
language = {eng},
month = {3},
number = {4},
pages = {695-713},
publisher = {EDP Sciences},
title = {Error estimates for some quasi-interpolation operators},
url = {http://eudml.org/doc/197519},
volume = {33},
year = {2010},
}
TY - JOUR
AU - Verfürth, Rüdiger
TI - Error estimates for some quasi-interpolation operators
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 4
SP - 695
EP - 713
AB -
We derive explicit bounds on the constants
in error estimates for two quasi-interpolation operators which are
modifications of the “classical” Clément-operator.
These estimates are crucial for making explicit the
constants which appear in popular a posteriori error
estimates. They are also compared with corresponding
estimates for the standard nodal interpolation operator.
LA - eng
KW - Interpolation error estimates;
quasi-interpolation operators.; error bounds; quasi-interpolation operators; Clément-operator; a posteriori error estimates; nodal interpolation operator
UR - http://eudml.org/doc/197519
ER -
Citations in EuDML Documents
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- Robert Eymard, Raphaèle Herbin, Jean Claude Latché, On a stabilized colocated Finite Volume scheme for the Stokes problem
- Zakaria Belhachmi, Error Estimates For the D Stabilized Mortar Finite Element Method applied to the Laplace Equation
- Christine Bernardi, Rüdiger Verfürth, A posteriori error analysis of the fully discretized time-dependent Stokes equations
- Christine Bernardi, Rüdiger Verfürth, error analysis of the fully discretized time-dependent Stokes equations
- Robert Eymard, Raphaèle Herbin, Jean-Claude Latché, Bruno Piar, Convergence analysis of a locally stabilized collocated finite volume scheme for incompressible flows
- Serge Nicaise, Nadir Soualem, A posteriori error estimates for a nonconforming finite element discretization of the heat equation
- Serge Nicaise, Nadir Soualem, error estimates for a nonconforming finite element discretization of the heat equation
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