The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method

被引：63
作者：
Atluri, S [1 ]
Shen, SP [1 ]
机构：
[1] Univ Calif Irvine, Ctr Aerosp Res & Educ, Irvine, CA 92697 USA
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 2005年 / 23卷 / 1-2期
基金：
美国国家航空航天局;
关键词：
MLPG; local weak form; meshless method;
D O I：
10.1007/s10444-004-1813-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.
引用
收藏
页码：73 / 93
页数：21
相关论文
共 76 条
  • [1] Finite cloud method: a true meshless technique based on a fixed reproducing kernel approximation
    Aluru, NR
    Li, G
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 50 (10) : 2373 - 2410
  • [2] Atluri S. N., 1998, Computer Modeling and Simulation in Engineering, V3, P187
  • [3] Atluri S.N., 2002, MESHLESS LOCAL PETRO
  • [4] Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
    Atluri, SN
    Cho, JY
    Kim, HG
    [J]. COMPUTATIONAL MECHANICS, 1999, 24 (05) : 334 - 347
  • [5] The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
    Atluri, SN
    Zhu, TL
    [J]. COMPUTATIONAL MECHANICS, 2000, 25 (2-3) : 169 - 179
  • [6] A critical assessment of the truly Meshless Local Petrov-Galerkin (MLPG), and Local Boundary Integral Equation (LBIE) methods
    Atluri, SN
    Kim, HG
    Cho, JY
    [J]. COMPUTATIONAL MECHANICS, 1999, 24 (05) : 348 - 372
  • [7] Atluri SN, 2000, COMPUT MECH, V25, P180
  • [8] Atluri SN, 2000, INT J NUMER METH ENG, V47, P537, DOI 10.1002/(SICI)1097-0207(20000110/30)47:1/3<537::AID-NME783>3.0.CO
  • [9] 2-E
  • [10] Atluri SN, 2002, CMES-COMP MODEL ENG, V3, P11
12345678