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带有多项式基的径向点插值无网格方法 被引量:1

A Radial Piont Interpolation Meshless Method With Polynomial Basis
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摘要 带有多项式基的径向点插值无网格方法是一种新的数值方法。文章介绍其基本原理,并将该方法应用于二维弹性静力问题的求解,推导出其相应的离散方程,最后用算例表明,该法具有一定的发展前景。 A Radial Piont Interpolation Meshless Method With Polynomial Basis is a new numerical method. In this paper, the basic principle of this method is introduced,in addition, it is applied to two -dimensional static problems and obtained its governing equation. Finally ,the numerical results show that the proposed method is promising.
出处 《淮阴工学院学报》 CAS 2005年第5期12-14,共3页 Journal of Huaiyin Institute of Technology
关键词 无网格法 点插值法 径向基函数 径向点插值法 meshless method, point interpolation method, radial basis functions radial point interpolation method
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参考文献7

  • 1张雄,宋康祖,陆明万.无网格法研究进展及其应用[J].计算力学学报,2003,20(6):730-742. 被引量:109
  • 2Liu GR,GuYT. A point interpolation method for two- dimensional solids [J]. International Journal for Numerical methods in engineering,2001,50(4) :937 -951. 被引量:1
  • 3Wang J. G. , Liu, G. R. ,2002a. A point interpolation meshless method based on radial basis functions. Ins. J Numer. Methods eng. 54(11) ,1623 -1648. 被引量:1
  • 4夏茂辉,贾延,侯春强,.基于径向基函数的点插值(RPIM)无网格方法[A].第二届全国数学及其应用学术研讨会论文集-数学及其应用,北京:原子能出版社,2005,336-344. 被引量:1
  • 5Micchelli C A. Interpolation of scattered data: distance matrices and conditionally positive definite functions. Constr. Approx. ,1986,2:11 - 22. 被引量:1
  • 6王敏中等编..弹性力学教程[M].北京:北京大学出版社,2002:419.
  • 7吴毓熙编著..应用弹性力学[M].上海:同济大学出版社,1989:584.

二级参考文献122

  • 1张锁春.光滑质点流体动力学(SPH)方法(综述)[J].计算物理,1996,13(4):385-397. 被引量:84
  • 2贝新源,岳宗五.三维SPH程序及其在斜高速碰撞问题的应用[J].计算物理,1997,14(2):155-166. 被引量:31
  • 3Cordes L W, Moran B. Treatment of material discontinuity in the element-free Galerkin method[J]. Comput Methods Appl Mech Engrg,1996,139:75-89. 被引量:1
  • 4Zhang X,Lu M W,Wegner J L. A 2-D meshless model for jointed rock structures[J]. Int J Numer Methods Engrg,2000,47(10):1649-1661. 被引量:1
  • 5Beissel S, Belytschko T. Nodal integration of the element-free Galerkin method[J]. Comput Methods Appl Mech Engrg,1996,139:49-74. 被引量:1
  • 6Organ D, Fleming M, Terry T. Continuous meshless approximations for nonconvex bodies by diffraction and transparency[J]. Comput Mech,1996,18:225-235. 被引量:1
  • 7Smolinski P, Palmer T. Procedures for multi-time step integration of element-free Galerkin methods for diffusion problems[J]. Comput Struct,2000,77:171-183. 被引量:1
  • 8Onate E, Idelsohn S, Zienkiewicz O C, et al. A finite point method in computational mechanics: Applications to convective transport and fluid flow[J]. Int J Numer Methods Engr,1996,39:3839-3866. 被引量:1
  • 9Onate E, Idelsohn S. A mesh-free finite point method for advective-diffusive transport and fluid flow problems[J]. Comput Mech, 1998,21:283-292. 被引量:1
  • 10Onate E, Idelsohn S, Zienkiewicz O C, et al. A stabilized finite point method for analysis of fluid mechanics problems[J]. Comput Methods Appl Mech Engrg,1996,139:315-346. 被引量:1

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