In this paper we prove convergence and error estimates for the so-called 3-field formulation using piecewise linear finite elements stabilized with boundary bubbles. Optimal error bounds are proved in L^2 and in the broken H^1 norm for the internal variable u, and in suitable weighted L^2 norms for the other two interface variables

Error estimates for the three-field formulation with bubble stabilization

BREZZI, FRANCO;MARINI, LUISA DONATELLA
2001-01-01

Abstract

In this paper we prove convergence and error estimates for the so-called 3-field formulation using piecewise linear finite elements stabilized with boundary bubbles. Optimal error bounds are proved in L^2 and in the broken H^1 norm for the internal variable u, and in suitable weighted L^2 norms for the other two interface variables
2001
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Sì, ma tipo non specificato
Inglese
Internazionale
STAMPA
70
911
934.
Tematica Ex SIR: Proprieta' di base degli schemi discreti (Algebra Lineare Numerica, autovalori, decomposizione di domini, stabilizzazioni) (Classif. Ex SIR:Articoli su riviste ISI )
Domain Decomposition; Three-field Formulation; Error estimates
2
info:eu-repo/semantics/article
262
Brezzi, Franco; Marini, LUISA DONATELLA
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/11571/8215
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