Hostname: page-component-76c49bb84f-vcmr7 Total loading time: 0 Render date: 2025-07-05T03:31:54.653Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-Interpolation and A Posteriori Error Analysisin Finite Element Methods

Published online by Cambridge University Press:  15 August 2002

Carsten Carstensen
Carsten Carstensen*
Affiliation:
Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany. cc@numerik.uni-kiel.de.
Get access

Abstract

One of the main tools in the proof of residual-based a posteriori error estimates is a quasi-interpolation operator due to Clément. We modify this operator in the setting of a partition of unitywith the effect that the approximation error has a local average zero.This results in a new residual-based a posteriori error estimate with a volume contribution which is smaller than in the standard estimate.For an elliptic model problem, we discuss applications to conforming, nonconforming and mixed finite element methods.

Keywords

A posteriori error estimatesadaptive algorithmreliabilitymixed finite element methodnonconforming finite element method.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 6 , November 1999 , pp. 1187 - 1202
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable