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Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case

 

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Opened Access Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case
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Author: Frutos, Javier de
García Archilla, Juan Bosco
Novo, Julia
Department: Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)
Date: 2008
Published in: SIAM Journal on Numerical Analysis, 47 (1), 596-621.
Document type: Article
Abstract: An accuracy-enhancing postprocessing technique for finite-element discretizations of the Navier–Stokes equations is analyzed. The technique had been previously analyzed only for semidiscretizations, and fully discrete methods are addressed in the present paper. We show that the increased spatial accuracy of the postprocessing procedure is not affected by the errors arising from any convergent time-stepping procedure. Further refined bounds are obtained when the timestepping procedure is either the backward Euler method or the two-step backward differentiation formula.
Cite: Frutos, J.d., García Archilla, J.B. y Novo, J. (2008). Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case. SIAM Journal on Numerical Analysis, 47 (1), 596-621.
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URI: http://hdl.handle.net/11441/57593

DOI: 10.1137/070707580

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