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Journal of Scientific Computing

Erschienen in:

08.05.2017

Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier–Stokes Equations

verfasst von: Javier de Frutos, Bosco García-Archilla, Julia Novo

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2018

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Abstract

We obtain error bounds for a modified Chorin–Teman (Euler non-incremental) method for non inf-sup stable mixed finite elements applied to the evolutionary Navier–Stokes equations. The analysis of the classical Euler non-incremental method is obtained as a particular case. We prove that the modified Euler non-incremental scheme has an inherent stabilization that allows the use of non inf-sup stable mixed finite elements without any kind of extra added stabilization. We show that it is also true in the case of the classical Chorin–Temam method. The relation of the methods with the so called pressure stabilized Petrov Galerkin method is established. We do not assume non-local compatibility conditions for the solution.

Vorheriger Artikel Tensor Methods for Solving Symmetric -tensor Systems

Nächster Artikel Two-Grid Mixed Finite-Element Approximations to the Navier–Stokes Equations Based on a Newton-Type Step

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Titel: Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier–Stokes Equations
verfasst von: Javier de Frutos
Bosco García-Archilla
Julia Novo
Publikationsdatum: 08.05.2017
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0446-3

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