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.