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Probabilistic analysis of an a posteriori error estimator for finite elements

Autor
Diez, P.; Egozcue, J. J.
Tipus d'activitat
Article en revista
Revista
Mathematical models and methods in applied sciences
Data de publicació
2001-08
Volum
11
Número
5
Pàgina inicial
841
Pàgina final
854
DOI
https://doi.org/10.1142/S0218202501001136 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/8549 Obrir en finestra nova
Resum
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...
Citació
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.
Paraules clau
Adaptivity, Error Estimation, Finite Elements, Probabilistic Analysis
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
NRG - Riscos Naturals i Geoestadística

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