A second order in time modified Lagrange-Galerkin finite element method for the incompressible Navier-Stokes equations

Bermejo Bermejo, Rodolfo and Galán del Sastre, Pedro and Saavedra Lago, Laura (2012). A second order in time modified Lagrange-Galerkin finite element method for the incompressible Navier-Stokes equations. "SIAM Journal on Numerical Analysis", v. 50 (n. 6); pp. 3084-3109. ISSN 0036-1429. https://doi.org/10.1137/11085548X.

Description

Title: A second order in time modified Lagrange-Galerkin finite element method for the incompressible Navier-Stokes equations
Author/s:
  • Bermejo Bermejo, Rodolfo
  • Galán del Sastre, Pedro
  • Saavedra Lago, Laura
Item Type: Article
Título de Revista/Publicación: SIAM Journal on Numerical Analysis
Date: 2012
ISSN: 0036-1429
Volume: 50
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Matemática Aplicada a la Ingeniería Industrial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (344kB) | Preview

Abstract

We introduce a second order in time modified Lagrange--Galerkin (MLG) method for the time dependent incompressible Navier--Stokes equations. The main ingredient of the new method is the scheme proposed to calculate in a more efficient manner the Galerkin projection of the functions transported along the characteristic curves of the transport operator. We present error estimates for velocity and pressure in the framework of mixed finite elements when either the mini-element or the $P2/P1$ Taylor--Hood element are used.

More information

Item ID: 16865
DC Identifier: http://oa.upm.es/16865/
OAI Identifier: oai:oa.upm.es:16865
DOI: 10.1137/11085548X
Official URL: http://epubs.siam.org/doi/abs/10.1137/11085548X
Deposited by: Memoria Investigacion
Deposited on: 21 Dec 2013 11:49
Last Modified: 26 Jul 2019 13:59
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM