This paper deals with the a posteriori error analysis of mixed finite element methods for second order elliptic equations. It is shown that a reliable and efficient error estimator can be constructed using a postprocessed solution of the method. The analysis is performed in two different ways: under a saturation assumption and using a Helmholtz decomposition for vector fields.

Energy norm a posteriori error estimates for mixed finite element methods

LOVADINA, CARLO;
2006-01-01

Abstract

This paper deals with the a posteriori error analysis of mixed finite element methods for second order elliptic equations. It is shown that a reliable and efficient error estimator can be constructed using a postprocessed solution of the method. The analysis is performed in two different ways: under a saturation assumption and using a Helmholtz decomposition for vector fields.
2006
Engineering Mathematics covers resources on applied mathematics, mathematical modelling, combinatorics, optimization techniques, numerical methods, and statistical methods that have an emphasis on engineering systems.
Sì, ma tipo non specificato
Inglese
Internazionale
STAMPA
75
1659
1674
Tematica Ex SIR: Analisi delle proprietà di base degli schemi discreti (Algebra Lineare Numerica, autovalori, decomposizione di domini, stabilizzazioni) (Classif. Ex SIR:Articoli su riviste ISI )
A POSTERIORI ANALYSIS; MIXED FINITE ELEMENTS; ENERGY NORM
2
info:eu-repo/semantics/article
262
Lovadina, Carlo; Stenberg, R.
1 Contributo su Rivista::1.1 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/134324
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