Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping | Zendy

Jilian Wu | Zendy; Pengzhan Huang | Zendy; Xinlong Feng | Zendy

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Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping

Author(s) -

Jilian Wu,

Pengzhan Huang,

Xinlong Feng

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/985864

Subject(s) - finite element method , gauss , compressibility , solver , mathematics , incompressible flow , flow (mathematics) , mixed finite element method , stability (learning theory) , space (punctuation) , mathematical analysis , mechanics , mathematical optimization , physics , computer science , geometry , quantum mechanics , machine learning , operating system , thermodynamics

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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