A note on practical bubbles for advection-diffusion problems

被引：2
|
作者：
Yue, XY [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
来源：
CALCOLO | 2002年 / 39卷 / 04期
关键词：
D O I：
10.1007/s100920200008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we show that, in the one-dimensional case, as an approximation to residual-free bubbles (RFB), certain practical bubbles can be applied to obtain a scheme which is uniformly convergent with respect to small viscosity in the energy norm for advection-diffusion problems.
引用
收藏
页码：189 / 200
页数：12
相关论文
共 50 条
  • [31] BDDC algorithms for advection-diffusion problems with HDG discretizations
    Tu, Xuemin
    Zhang, Jinjin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 101 : 74 - 106
  • [32] A Python']Python Framework for Solving Advection-Diffusion Problems
    Dedner, Andreas
    Klofkorn, Robert
    FINITE VOLUMES FOR COMPLEX APPLICATIONS IX-METHODS, THEORETICAL ASPECTS, EXAMPLES, FVCA 9, 2020, 323 : 695 - 703
  • [33] A hybrid nonoverlapping domain decomposition scheme for advection dominated advection-diffusion problems
    Espedal, MS
    Tai, XC
    Yan, NN
    NUMERICAL ALGORITHMS, 1998, 18 (3-4) : 321 - 336
  • [34] Detailed CVFEM algorithm for three dimensional advection-diffusion problems
    Tombarević, E.
    Voller, V.R.
    Vusanović, I.
    CMES - Computer Modeling in Engineering and Sciences, 2013, 96 (01): : 1 - 29
  • [35] SPECTRAL APPROXIMATION TO ADVECTION-DIFFUSION PROBLEMS BY THE FICTITIOUS INTERFACE METHOD
    FRATI, A
    PASQUARELLI, F
    QUARTERONI, A
    JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 107 (02) : 201 - 212
  • [36] FV Upwind Stabilization of FE Discretizations for Advection-Diffusion Problems
    Brunner, Fabian
    Frank, Florian
    Knabner, Peter
    FINITE VOLUMES FOR COMPLEX APPLICATIONS VII - METHODS AND THEORETICAL ASPECTS, 2014, 77 : 177 - 185
  • [37] Mortar Methods with Optimized Transmission Conditions for Advection-Diffusion Problems
    Japhet, Caroline
    Maday, Yvon
    DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XXII, 2016, 104 : 541 - 549
  • [38] Numerical Inverse Laplace Transform Methods for Advection-Diffusion Problems
    Kamran, Farman Ali
    Shah, Farman Ali
    Aly, Wael Hosny Fouad
    Aksoy, Hasan M.
    Alotaibi, Fahad
    Mahariq, Ibrahim
    SYMMETRY-BASEL, 2022, 14 (12):
  • [39] Energy stable flux reconstruction schemes for advection-diffusion problems
    Castonguay, P.
    Williams, D. M.
    Vincent, P. E.
    Jameson, A.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 267 : 400 - 417
  • [40] Detailed CVFEM Algorithm for Three Dimensional Advection-diffusion Problems
    Tombarevic, E.
    Voller, V. R.
    Vusanovic, I.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2013, 96 (01): : 1 - 29
12345