A Galerkin meshfree method with diffuse derivatives and stabilization

被引:0
|
作者
Donald A. French
Mauricio Osorio
机构
[1] University of Cincinnati,Department of Mathematical Sciences
[2] Universidad Nacional de Colombia,Escuela de Matemáticas
来源
Computational Mechanics | 2012年 / 50卷
关键词
Meshfree methods; Diffuse derivatives; Moving least squares; Diffuse element method and error estimates;
D O I
暂无
中图分类号
学科分类号
摘要
A theoretical error analysis of a new meshfree method with diffuse derivatives and penalty stabilization is provided for the approximation of solutions of elliptic boundary value problems. Computational results confirming the predicted convergence rates are also presented. The accuracy of this stabilized scheme improves as the degree of the polynomials in the implementation are increased.
引用
收藏
页码:657 / 664
页数:7
相关论文
共 50 条
  • [21] A discontinuous Galerkin Meshfree modeling of material interface
    Department of Civil Engineering, Xiamen University, Xiamen, Fujian, 361005, China
    CMES Comput. Model. Eng. Sci., 2009, 1 (57-82): : 57 - 82
  • [22] Elastic bending analysis of folded plates and plate structures using the meshfree Galerkin method
    Liew, K. M.
    Peng, L. X.
    Kitipornchai, S.
    CMESM 2006: Proceedings of the 1st International Conference on Enhancement and Promotion of Computational Methods in Engineering Science and Mechanics, 2006, : 744 - 749
  • [23] A Gradient Smoothing Galerkin Meshfree Method for Thin Plate Analysis with Linear Basis Function
    Deng L.
    Wang D.
    Wang J.
    Wu J.
    Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2019, 51 (03): : 690 - 702
  • [24] A polygonal discontinuous Galerkin method with minus one stabilization
    Bertoluzza, Silvia
    Prada, Daniele
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2021, 55 : S785 - S810
  • [25] A semi-Lagrangian meshfree Galerkin method for convection-dominated partial differential equations
    Wang, Xiaodong
    Wang, Haidan
    Liu, Ying
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 391
  • [26] Crack growth modeling in elastic solids by the extended meshfree Galerkin radial point interpolation method
    Nha Thanh Nguyen
    Tinh Quoc Bui
    Zhang, Chuanzeng
    Thien Tich Truong
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2014, 44 : 87 - 97
  • [27] A meshfree-based local Galerkin method with condensation of degree of freedom for elastic dynamic analysis
    Hu, De-An
    Wang, Yi-Gang
    Li, Yang-Yang
    Han, Xu
    Gu, Yuan-Tong
    ACTA MECHANICA SINICA, 2014, 30 (01) : 92 - 99
  • [28] Meshfree Digital Image Correlation Using Element Free Galerkin Method: Theory, Algorithm and Validation
    B. Chen
    S. Coppieters
    Experimental Mechanics, 2023, 63 : 517 - 528
  • [29] Buckling analysis of corrugated-core sandwich plates using a FSDT and a meshfree Galerkin method
    Chen, W.
    Yang, J. S.
    Wei, D. Y.
    Yan, S. T.
    Peng, L. X.
    THIN-WALLED STRUCTURES, 2022, 180
  • [30] Meshfree Digital Image Correlation Using Element Free Galerkin Method: Theory, Algorithm and Validation
    Chen, B.
    Coppieters, S.
    EXPERIMENTAL MECHANICS, 2023, 63 (03) : 517 - 528