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Probabilistic analysis of an a posteriori error estimator for finite elements

Author
Diez, P.; Egozcue, J. J.
Type of activity
Journal article
Journal
Mathematical models and methods in applied sciences
Date of publication
2001-08
Volume
11
Number
5
First page
841
Last page
854
DOI
https://doi.org/10.1142/S0218202501001136 Open in new window
Repository
http://hdl.handle.net/2117/8549 Open in new window
Abstract
A residual type a posteriori error estimator for finite elements is analyzed using a new technique. In this case, the error estimate is the result of two consecutive projections of the exact error on two finite-dimensional subspaces. The analysis introduced in this paper is based on a probabilistic approach, that is, the idea is to assess the average value of the effectivity index (the ratio estimated error over exact error) by assuming the randomness of the exact error. The average value charac...
Citation
Díez, P.; Egozcue, J. J. Probabilistic analysis of an a posteriori error estimator for finite elements. "Mathematical models and methods in applied sciences", Agost 2001, vol. 11, núm. 5, Electronic version of an article published as [Mathematical models and methods in applied sciences , 11, 5, 2001, 841-854] [10.1142/S0218202501001136 ] © [copyright World Scientific Publishing Company] [http://journals.worldscientific.com.sg/m3as/], p. 841-854.
Keywords
Error estimation, adaptivity, finite elements, probabilistic analysis
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering
NRG - Natural Hazards and Geostatistics

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