Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems

被引:0
|
作者
唐耀宗 [1 ]
李小林 [2 ]
机构
[1] College of Mathematics and Statistics, Kashgar University
[2] College of Mathematics Science, Chongqing Normal University
基金
中国国家自然科学基金;
关键词
meshless method; moving least squares approximation; element-free Galerkin method; error estimate;
D O I
暂无
中图分类号
TB115 [计算数学的应用];
学科分类号
0701 ; 070104 ;
摘要
We first give a stabilized improved moving least squares(IMLS) approximation, which has better computational stability and precision than the IMLS approximation. Then, analysis of the improved element-free Galerkin method is provided theoretically for both linear and nonlinear elliptic boundary value problems. Finally, numerical examples are given to verify the theoretical analysis.
引用
收藏
页码:219 / 229
页数:11
相关论文
共 50 条
  • [1] Meshless analysis of an improved element-free Galerkin method for linear and nonlinear elliptic problems
    Tang, Yao-Zong
    Li, Xiao-Lin
    [J]. CHINESE PHYSICS B, 2017, 26 (03)
  • [2] Meshless element-free Galerkin method in NDT applications
    Xuan, L
    Zeng, Z
    Shanker, B
    Udpa, L
    [J]. REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION, VOLS 21A & B, 2002, 615 : 1960 - 1967
  • [3] Analysis of the element-free Galerkin method for Signorini problems
    Li, Xiaolin
    Dong, Haiyun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 : 41 - 56
  • [4] Analysis of fracture problems of airport pavement by improved element-free Galerkin method
    Zou Shi-Ying
    Xi Wei-Cheng
    Peng Miao-Juan
    Cheng Yu-Min
    [J]. ACTA PHYSICA SINICA, 2017, 66 (12)
  • [5] Meshless element-free Galerkin method for ground-coupled heat transfer problems
    Li Xiangqian
    Wang Weiwei
    Li Minghai
    Zhen Maoyu
    [J]. INFORMATION TECHNOLOGY APPLICATIONS IN INDUSTRY, PTS 1-4, 2013, 263-266 : 3292 - +
  • [6] NUMERICAL ANALYSIS OF THE MESHLESS ELEMENT-FREE GALERKIN METHOD FOR HYPERBOLIC INITIAL-BOUNDARY VALUE PROBLEMS
    Tang, Yaozong
    Li, Xiaolin
    [J]. APPLICATIONS OF MATHEMATICS, 2017, 62 (05) : 477 - 492
  • [7] Numerical analysis of the meshless element-free Galerkin method for hyperbolic initial-boundary value problems
    Yaozong Tang
    Xiaolin Li
    [J]. Applications of Mathematics, 2017, 62 : 477 - 492
  • [8] The Improved Element-Free Galerkin Method for Diffusional Drug Release Problems
    Zheng, Guodong
    Cheng, Yumin
    [J]. INTERNATIONAL JOURNAL OF APPLIED MECHANICS, 2020, 12 (08)
  • [9] Analysis of the element-free Galerkin method with penalty for general second-order elliptic problems
    Zhang, Tao
    Li, Xiaolin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2020, 380
  • [10] The improved element-free Galerkin method for elastoplasticity large deformation problems
    Cai XiaoJie
    Peng MiaoJuan
    Cheng YuMin
    [J]. SCIENTIA SINICA-PHYSICA MECHANICA & ASTRONOMICA, 2018, 48 (02)