A least-squares finite element approximation for the compressible Stokes equations

被引：0
|
作者：
Cai, ZQ
Ye, X
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Univ Arkansas, Dept Math & Stat, Little Rock, AR 72204 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 16卷 / 01期
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article studies a least-squares finite element method for the numerical approximation of compressible Stokes equations. Optimal order error estimates for the velocity and pressure in the H-1 are established. The choice of finite element spaces for the velocity and pressure is not subject to the inf-sup condition. (C) 2000 John Wiley & Sons, Inc.
引用
收藏
页码：62 / 70
页数：9
相关论文
共 50 条
  • [21] Least-squares finite-element method for the Stokes equations with improved mass balances
    Ye, X.
    Computers and Mathematics with Applications, 1999, 38 (03): : 229 - 237
  • [22] A least-squares finite-element method for the Stokes equations with improved mass balances
    Ye, X
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (3-4) : 229 - 237
  • [23] LEAST-SQUARES FINITE-ELEMENT APPROXIMATION OF NAVIERS EQUATION
    ZAMANI, NG
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1981, 311 (05): : 311 - 321
  • [24] Applications of least-squares finite element methods to compressible internal flows
    Sullerey, RK
    Azim, SW
    INTERNATIONAL JOURNAL OF TURBO & JET-ENGINES, 1999, 16 (04) : 231 - 239
  • [25] Least-squares spectral element method for three dimensional Stokes equations
    Mohapatra, Subhashree
    Husain, Akhlaq
    APPLIED NUMERICAL MATHEMATICS, 2016, 102 : 31 - 54
  • [26] A mass conservative least-squares finite element method for the Stokes problem
    Nelson, JJ
    Chang, CL
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1995, 11 (12): : 965 - 970
  • [27] Least-squares mixed finite element method for a class of stokes equation
    Haiming G.
    Danping Y.
    Shulin S.
    Xinmin L.
    Applied Mathematics and Mechanics, 2000, 21 (5) : 557 - 566
  • [28] A least-squares finite element method for a nonlinear Stokes problem in glaciology
    Monnesland, Irene Sonja
    Lee, Eunjung
    Gunzburger, Max
    Yoon, Ryeonglcyung
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 71 (11) : 2421 - 2431
  • [29] Least-squares mixed finite element methods for the RLW equations
    Gu, Haiming
    Chen, Ning
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (03) : 749 - 758
  • [30] Least-squares mixed finite element method for a class of Stokes equation
    Gu, HM
    Yang, DP
    Sui, SL
    Liu, XM
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (05) : 557 - 566
12345