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A second order in time modified Lagrange-Galerkin finite element method for the incompressible Navier-Stokes equations
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
