A meshless method based on Taylor series

被引：0
|
作者：
Tampango, Y. [1 ]
Potier-Ferry, M. [1 ]
Koutsawa, Y. [2 ]
机构：
[1] Univ Lorraine, LEM3, Nancy, France
[2] CRP Henri Tudor, Esch Alzette, Luxembourg, Luxembourg
来源：
BOUNDARY ELEMENTS AND OTHER MESH REDUCTION METHODS XXXIV | 2012年 / 53卷
关键词：
meshless method; junction method; convergence analysis; Taylor series expansion; FINITE-ELEMENT METHOD; P-VERSION;
D O I：
10.2495/BE120051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a meshless method based on Taylor series approximation. This method solves quasi-exactly the Partial Differential Equation (PDE) in the domain. The boundary conditions are applied by using a least square method as proposed by Zhang et al. for stabilizing collocation method. Sometimes, the convergence can only be obtained by splitting the domain in to several subdomains: a new bridging technique is proposed to match several polynomial approximations. Finally, numerical techniques like the Domb Sykes plot permits us to estimate the radius of convergence of the series.
引用
收藏
页码：51 / 61
页数：11
相关论文
共 50 条
  • [31] Taylor series method in nonlinear structural dynamics
    Zhao, LB
    Yao, ZH
    Wang, SM
    [J]. PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING, 2002, : 72 - 77
  • [32] Application of Taylor series method in multibody dynamics
    Zhang, JY
    [J]. PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING, 2002, : 202 - 206
  • [33] Taylor series numerical method in structural dynamics
    Zhao Libin
    Zhang Jianyu
    Zhao Youxuan
    [J]. ADVANCES IN FRACTURE AND MATERIALS BEHAVIOR, PTS 1 AND 2, 2008, 33-37 : 1213 - +
  • [34] FOURIER ANALYSIS AND MODERN TAYLOR SERIES METHOD
    Kunovsky, Jiri
    Kraus, Michal
    Satek, Vaclav
    [J]. APLIMAT 2007 - 6TH INTERNATIONAL CONFERENCE, PT II, 2007, : 203 - 208
  • [35] Taylor Series Based Differential Formulas
    Necasova, Gabriela
    Kunovsky, Jiri
    Satek, Vaclav
    Chaloupka, Jan
    Veigend, Petr
    [J]. IFAC PAPERSONLINE, 2015, 48 (01): : 705 - +
  • [36] Digital differentiators based on Taylor series
    Khan, IR
    Ohba, R
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1999, E82A (12) : 2822 - 2824
  • [37] Methodology of the Taylor Series Based Computations
    Kunovsky, Jiri
    Drozdova, Martina
    Kopriva, Jan
    Pindryc, Milan
    [J]. 2009 THIRD ASIA INTERNATIONAL CONFERENCE ON MODELLING & SIMULATION, VOLS 1 AND 2, 2009, : 206 - 211
  • [38] Meshless numerical model based on radial basis function (RBF) method to simulate the Rayleigh-Taylor instability (RTI)
    Budiana, Eko Prasetya
    Pranowo
    Indarto
    Deendarlianto
    [J]. COMPUTERS & FLUIDS, 2020, 201
  • [39] A Taylor series-based finite volume method for the Navier-Stokes equations
    Wu, G. X.
    Hu, Z. Z.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 58 (12) : 1299 - 1325
  • [40] Amplitude spectral integral difference method for Q estimation based on Taylor series expansion
    Zhang, Jin
    Zhang, Guoshu
    Wang, Yanguo
    Li, Hongxing
    [J]. Shiyou Diqiu Wuli Kantan/Oil Geophysical Prospecting, 2022, 57 (02): : 320 - 330
12345