New Cascadic Algebraic Methods for the Second Order Elliptic Problems

被引：0
|
作者：
Ming, Li [1 ]
机构：
[1] Honghe Univ, Dept Math, Mengzi 661100, Yunnan, Peoples R China
来源：
SENSORS, MECHATRONICS AND AUTOMATION | 2014年 / 511-512卷
关键词：
cascadic algebraic two-grid method; interpolation operator; second order elliptic problems; cascadic algebraic two-level method;
D O I：
10.4028/www.scientific.net/AMM.511-512.971
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a new interpolation operator is designed basin on red-black coarsening. Combining the interpolation operator, a cascadic algebraic two-grid (CATG) method and a cascadic algebraic two-level (CATL) method for the elliptic problems of second order are presented. Numerical experiments show that the better approximate value is obtained without smoothing on finer level, and the new methods reduce computational cost.
引用
收藏
页码：971 / 975
页数：5
相关论文
共 37 条
  • [1] An economical cascadic multigrid method for the weak Galerkin finite element approximation of second order elliptic problems
    Shao, Wenting
    Sun, Shi
    Wang, Yingwei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 362 : 341 - 353
  • [2] Generalized weak Galerkin finite element methods for second order elliptic problems
    Li, Dan
    Wang, Chunmei
    Wang, Junping
    Ye, Xiu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 445
  • [3] Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
    Douglas, J
    Santos, JE
    Sheen, D
    Ye, X
    RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1999, 33 (04): : 747 - 770
  • [4] Convergence of Adaptive Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
    Xie, Yingying
    Zhong, Liuqiang
    JOURNAL OF SCIENTIFIC COMPUTING, 2021, 86 (01)
  • [5] Convergence of Adaptive Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
    Yingying Xie
    Liuqiang Zhong
    Journal of Scientific Computing, 2021, 86
  • [6] A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
    Long Chen
    Junping Wang
    Xiu Ye
    Journal of Scientific Computing, 2014, 59 : 496 - 511
  • [7] A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
    Chen, Long
    Wang, Junping
    Ye, Xiu
    JOURNAL OF SCIENTIFIC COMPUTING, 2014, 59 (02) : 496 - 511
  • [8] A NEW HYBRIDIZED MIXED WEAK GALERKIN METHOD FOR SECOND-ORDER ELLIPTIC PROBLEMS
    Zaghdani, Abdelhamid
    Sayari, Sayed
    El Hajji, Miled
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2022, 40 (04): : 501 - 518
  • [9] Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems
    Ye, Xiu
    Zhang, Shangyou
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 14 (03): : 613 - 623
  • [10] A WEAK GALERKIN METHOD FOR SECOND ORDER ELLIPTIC PROBLEMS WITH POLYNOMIAL REDUCTION
    Malluwawad, Nolisa
    Hussain, Saqib
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (02): : 655 - 670
1234