Local a posteriori estimates for the Stokes problem

被引:0
|
作者
Repin S.I. [1 ]
机构
[1] St.Petersburg Department, Steklov Mathematical Institute, St.Petersburg
关键词
Exact Solution; Nonlinear Problem; Local Norm; Linear Functional; Stokes Problem;
D O I
10.1007/s10958-006-0200-0
中图分类号
学科分类号
摘要
We obtain computable estimates of the difference between an exact solution of the Stokes problem and an approximation from a respective energy class. The estimates are presented in terms of local norms and linear functionals. Certain generalizations to some nonlinear problems are discussed. Bibliography: 17 titles. © 2006 Springer Science+Business Media, Inc.
引用
收藏
页码:3786 / 3793
页数:7
相关论文
共 50 条
  • [1] A posteriori estimates for the stokes problem
    Repin S.I.
    Journal of Mathematical Sciences, 2002, 109 (5) : 1950 - 1964
  • [2] A Posteriori Estimates for the Stokes Eigenvalue Problem
    Lovadina, Carlo
    Lyly, Mikko
    Stenberg, Rolf
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (01) : 244 - 257
  • [3] A posteriori error estimates for the generalized Stokes problem
    Repin S.
    Stenberg R.
    Journal of Mathematical Sciences, 2007, 142 (1) : 1828 - 1843
  • [4] A POSTERIORI ERROR-ESTIMATES FOR THE STOKES PROBLEM
    BANK, RE
    WELFERT, BD
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (03) : 591 - 623
  • [5] A POSTERIORI ESTIMATES FOR THE STATIONARY STOKES PROBLEM IN EXTERIOR DOMAINS
    Pauly, D.
    Repin, S.
    ST PETERSBURG MATHEMATICAL JOURNAL, 2020, 31 (03) : 533 - 555
  • [6] On the functional type a posteriori error estimates for the stokes problem
    Gorshkova, E.
    Repin, S.
    ECCOMAS - Eur. Congr. Comput. Methods Appl. Sci. Eng.,
  • [7] A posteriori error estimates for the Stokes problem with singular sources
    Allendes, Alejandro
    Otarola, Enrique
    Salgado, Abner J.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 345 : 1007 - 1032
  • [8] On a posteriori error estimates for the stationary Navier-Stokes problem
    Repin S.
    Journal of Mathematical Sciences, 2008, 150 (1) : 1885 - 1889
  • [9] A Posteriori Error Estimates for the Virtual Element Method for the Stokes Problem
    Wang, Gang
    Wang, Ying
    He, Yinnian
    JOURNAL OF SCIENTIFIC COMPUTING, 2020, 84 (02)
  • [10] Two-sided a posteriori estimates for a generalized Stokes problem
    Repin S.
    Stenberg R.
    Journal of Mathematical Sciences, 2009, 159 (4) : 541 - 558