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
  • [1] Strong form Meshless Implementation of Taylor Series Method
    Karamanli, A.
    Mugan, A.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9069 - 9080
  • [2] Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series
    Tampango, Yendoubouam
    Potier-Ferry, Michel
    Koutsawa, Yao
    Belouettar, Salim
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (10) : 1465 - 1472
  • [3] A new meshless method using Taylor series to solve elasticity problems
    Tampango, Yendoubouam
    Potier-Ferry, Michel
    Koutsawa, Yao
    Belouettar, Salim
    [J]. EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2012, 21 (3-6): : 365 - 373
  • [4] A Meshless Method for the Helmholtz Eigenvalue Problem Based on the Taylor Series of the 3-D Green's Function
    Leblanc, Alexandre
    Lavie, Antoine
    [J]. ACTA ACUSTICA UNITED WITH ACUSTICA, 2013, 99 (05) : 770 - 776
  • [5] Taylor Series Based Numerical Integration Method
    Veigend, Petr
    Necasova, Gabriela
    Satek, Vaclav
    [J]. OPEN COMPUTER SCIENCE, 2020, 11 (01) : 60 - 69
  • [6] A NEW NUMERICAL OPTIMIZATION METHOD BASED ON TAYLOR SERIES
    Martin, Christopher S.
    Conway, Bruce A.
    [J]. SPACEFLIGHT MECHANICS 2011, PTS I-III, 2011, 140 : 795 - +
  • [7] Solving large-scale problems by Taylor Meshless method
    Yang, Jie
    Hu, Heng
    Potier-Ferry, Michel
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2017, 112 (02) : 103 - 124
  • [8] Modern Taylor Series Method
    Kunovsky, Jiri
    [J]. 2015 IEEE 13th International Scientific Conference on Informatics, 2015, : 1 - 8
  • [9] Stability Analysis of an earth slope based on Taylor Series Method
    Pan Jian
    Ma Yong
    [J]. FRONTIERS OF GREEN BUILDING, MATERIALS AND CIVIL ENGINEERING III, PTS 1-3, 2013, 368-370 : 1769 - 1773
  • [10] Phase field simulation of Rayleigh-Taylor instability with a meshless method
    Talat, Nazia
    Mavric, Bostjan
    Hatic, Vanja
    Bajt, Sasa
    Sarler, Bozidar
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2018, 87 : 78 - 89
12345