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Volume 9, Issue 2
Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

Gang Chen & Minfu Feng

DOI: 10.4208/aamm.2014.m713

Adv. Appl. Math. Mech., 9 (2017), pp. 362-377.

Published online: 2018-05

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  • Abstract

This paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

  • Keywords

Unsteady Navier-Stokes equations, symmetric pressure stabilization, equal order interpolation.

  • AMS Subject Headings

65M60, 65N30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-362, author = {Chen , Gang and Feng , Minfu}, title = {Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {2}, pages = {362--377}, abstract = {

This paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m713}, url = {http://global-sci.org/intro/article_detail/aamm/12153.html} }
TY - JOUR T1 - Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation AU - Chen , Gang AU - Feng , Minfu JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 362 EP - 377 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2014.m713 UR - https://global-sci.org/intro/article_detail/aamm/12153.html KW - Unsteady Navier-Stokes equations, symmetric pressure stabilization, equal order interpolation. AB -

This paper gives analysis of a semi-discrete scheme using equal order interpolation to solve unsteady Navier-Stokes equations. A unified pressure stabilized term is added to our scheme. We proved the uniform error estimates with respect to the Reynolds number, provided the exact solution is smooth.

Chen , Gang and Feng , Minfu. (2018). Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation. Advances in Applied Mathematics and Mechanics. 9 (2). 362-377. doi:10.4208/aamm.2014.m713
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