Stabilized spectral element approximation for the Navier-Stokes equations

被引：0
|
作者：
Gervasio, P [1 ]
Saleri, F
机构：
[1] Univ Brescia, Dept Elect Automat, I-25121 Brescia, Italy
[2] Politecn Milan, Dept Math, I-20133 Milano, Italy
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 1998年 / 14卷 / 01期
关键词：
Navier-Stokes equations; spectral elements; stabilization techniques;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The conforming spectral element methods are applied to solve the linearized Navier-Stokes equations by the help of stabilization techniques like those applied for finite elements. The stability and convergence analysis is carried out and essential numerical results are presented demonstrating the high accuracy of the method as well as its robustness. (C) 1998 John Wiley & Sons, Inc.
引用
收藏
页码：115 / 141
页数：27
相关论文
共 50 条
  • [21] Schwarz preconditioners for the spectral element discretization of the steady Stokes and Navier-Stokes equations
    Mario A. Casarin
    Numerische Mathematik, 2001, 89 : 307 - 339
  • [22] Stabilized finite-element method for the stationary Navier-Stokes equations
    Yinnian He
    Aiwen Wang
    Liquan Mei
    Journal of Engineering Mathematics, 2005, 51 : 367 - 380
  • [23] Characteristic stabilized finite element method for the transient Navier-Stokes equations
    Jia, Hongen
    Li, Kaitai
    Liu, Songhua
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (45-48) : 2996 - 3004
  • [24] A new stabilized finite element method for the transient Navier-Stokes equations
    Li, Jian
    He, Yinnian
    Chen, Zhangxin
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 197 (1-4) : 22 - 35
  • [25] Stabilized mixed finite element methods for the Navier-Stokes equations with damping
    Li, Zhenzhen
    Shi, Dongyang
    Li, Minghao
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (02) : 605 - 619
  • [26] Stabilized finite-element method for the stationary Navier-Stokes equations
    He, YN
    Wang, AW
    Mei, LQ
    JOURNAL OF ENGINEERING MATHEMATICS, 2005, 51 (04) : 367 - 380
  • [27] Algebraic multigrid for stabilized finite element discretizations of the Navier-Stokes equations
    Okusanya, T
    Darmofal, DL
    Peraire, J
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2004, 193 (33-35) : 3667 - 3686
  • [28] Local projection stabilized finite element method for Navier-Stokes equations
    Yan-mei Qin
    Min-fu Feng
    Kun Luo
    Kai-teng Wu
    Applied Mathematics and Mechanics, 2010, 31 : 651 - 664
  • [29] Local projection stabilized finite element method for Navier-Stokes equations
    Qin, Yan-mei
    Feng, Min-fu
    Luo, Kun
    Wu, Kai-teng
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2010, 31 (05) : 651 - 664
  • [30] A stabilized finite element method for stochastic incompressible Navier-Stokes equations
    El-Amrani, Mofdi
    Seaid, Mohammed
    Zahri, Mostafa
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (18) : 2576 - 2602
12345