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Volume 17, Issue 5
Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation

Song-Nian He & Cai-Ping Yang

J. Comp. Math., 17 (1999), pp. 495-508.

Published online: 1999-10

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  • Abstract

A combined Legenedre spectral-finite element approximation is proposed for solving two-dimensional unsteady Navier-Stokes equation. The artificial compressibility is used. The generalized stability and convergence are proved strictly. Some numerical results show the advantages of this method.

  • Keywords

Navier-Stokes equation, Combined Legendre spectral-finite element approximation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-495, author = {He , Song-Nian and Yang , Cai-Ping}, title = {Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {5}, pages = {495--508}, abstract = {

A combined Legenedre spectral-finite element approximation is proposed for solving two-dimensional unsteady Navier-Stokes equation. The artificial compressibility is used. The generalized stability and convergence are proved strictly. Some numerical results show the advantages of this method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9120.html} }
TY - JOUR T1 - Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation AU - He , Song-Nian AU - Yang , Cai-Ping JO - Journal of Computational Mathematics VL - 5 SP - 495 EP - 508 PY - 1999 DA - 1999/10 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9120.html KW - Navier-Stokes equation, Combined Legendre spectral-finite element approximation. AB -

A combined Legenedre spectral-finite element approximation is proposed for solving two-dimensional unsteady Navier-Stokes equation. The artificial compressibility is used. The generalized stability and convergence are proved strictly. Some numerical results show the advantages of this method.

He , Song-Nian and Yang , Cai-Ping. (1999). Combined Legendre Spectral-Finite Element Method for the Two-Dimensional Unsteady Navier-Stokes Equation. Journal of Computational Mathematics. 17 (5). 495-508. doi:
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