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2013 Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping
Jilian Wu, Pengzhan Huang, Xinlong Feng
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/985864

Abstract

We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons between them in three numerical examples which show that the local Gauss integration method has good stability, efficiency, and accuracy properties and it is better than the others for the steady incompressible flow problem with damping on the whole. However, to our surprise, the regular method spends less CPU-time and has better accuracy properties by using Crout solver.

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Jilian Wu. Pengzhan Huang. Xinlong Feng. "Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping." J. Appl. Math. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/985864

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950977
MathSciNet: MR3138935
Digital Object Identifier: 10.1155/2013/985864

Rights: Copyright © 2013 Hindawi

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