Volume 9, Issue 6
A New L2 Projection Method for the Oseen Equations

Yanhong Bai & Minfu Feng

Adv. Appl. Math. Mech., 9 (2017), pp. 1420-1437.

Published online: 2017-09

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  • Abstract

In this paper, a new type of stabilized finite element method is discussed for Oseen equations based on the local L 2 projection stabilized technique for the velocity field. Velocity and pressure are approximated by two kinds of mixed finite element spaces, P 2 l −P1, (l = 1,2). A main advantage of the proposed method lies in that, all the computations are performed at the same element level, without the need of nested meshes or the projection of the gradient of velocity onto a coarse level. Stability and convergence are proved for two kinds of stabilized schemes. Numerical experiments confirm the theoretical results.

  • Keywords

Oseen equations, L2 projection method, pressure projection method.

  • AMS Subject Headings

65N12, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-1420, author = {}, title = {A New L2 Projection Method for the Oseen Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2017}, volume = {9}, number = {6}, pages = {1420--1437}, abstract = {

In this paper, a new type of stabilized finite element method is discussed for Oseen equations based on the local L 2 projection stabilized technique for the velocity field. Velocity and pressure are approximated by two kinds of mixed finite element spaces, P 2 l −P1, (l = 1,2). A main advantage of the proposed method lies in that, all the computations are performed at the same element level, without the need of nested meshes or the projection of the gradient of velocity onto a coarse level. Stability and convergence are proved for two kinds of stabilized schemes. Numerical experiments confirm the theoretical results.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2016.m1420}, url = {http://global-sci.org/intro/article_detail/aamm/10186.html} }
TY - JOUR T1 - A New L2 Projection Method for the Oseen Equations JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1420 EP - 1437 PY - 2017 DA - 2017/09 SN - 9 DO - http://doi.org/10.4208/aamm.2016.m1420 UR - https://global-sci.org/intro/article_detail/aamm/10186.html KW - Oseen equations, L2 projection method, pressure projection method. AB -

In this paper, a new type of stabilized finite element method is discussed for Oseen equations based on the local L 2 projection stabilized technique for the velocity field. Velocity and pressure are approximated by two kinds of mixed finite element spaces, P 2 l −P1, (l = 1,2). A main advantage of the proposed method lies in that, all the computations are performed at the same element level, without the need of nested meshes or the projection of the gradient of velocity onto a coarse level. Stability and convergence are proved for two kinds of stabilized schemes. Numerical experiments confirm the theoretical results.

Yanhong Bai & Minfu Feng. (2020). A New L2 Projection Method for the Oseen Equations. Advances in Applied Mathematics and Mechanics. 9 (6). 1420-1437. doi:10.4208/aamm.2016.m1420
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