B-SPLINE FINITE ELEMENT METHOD.

被引:0
|
作者
Liang, Xubiao [1 ]
Jian, Baidun [1 ]
Ni, Guangzheng [1 ]
机构
[1] Zhejiang Univ, China, Zhejiang Univ, China
关键词
COMPUTER AIDED ANALYSIS - MATHEMATICAL TECHNIQUES - Finite Element Method;
D O I
暂无
中图分类号
学科分类号
摘要
A B-Spline f. e. m. based on the B-Spline theory in which the B-Spline functions for rectangular elements are used as shape functions is presented in this paper. It provides a very effective method for solving 2-dimensional electromagnetic field problems in regular regions. Compared with the conventional f. e. m. , not only it can give more accurate potential values, but due to the inherent properties of B-Spline functions, it also yields much closer field values. Moreover, both the computing time and the storage capacity are greatly reduced. The paper successfully applies the B-Spline theory of multiple nodes to the boundaries of different media to solve the problems involving piecewise homogeneous subregions, meanwhile, the forced boundary conditions are dealt with by using the modified B-Spline base. Several typical problems having closed form solutions have been worked out as illustrations.
引用
收藏
页码:9 / 20
相关论文
共 50 条
  • [1] B-spline finite-element method in polar coordinates
    Li, RL
    Ni, GZ
    Yu, JH
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 1998, 28 (04) : 337 - 346
  • [2] Study on the Local Refinement in Spline Finite Element Method by Using Hierarchical B-spline
    Hah, Zoo-Hwan
    Kim, Hyun-Jung
    Youn, Sung-Kie
    TRANSACTIONS OF THE KOREAN SOCIETY OF MECHANICAL ENGINEERS A, 2010, 34 (08) : 1007 - 1013
  • [3] AN APPLICATION OF CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE BURGERS' EQUATION
    Aksan, Emine Nesligul
    THERMAL SCIENCE, 2018, 22 : S195 - S202
  • [4] A stochastic B-spline wavelet on the interval finite element method for beams
    Vadlamani, Shashank
    Arun, C. O.
    COMPUTERS & STRUCTURES, 2020, 233
  • [5] B-spline finite element method for the regulated long wave equation
    Gardner, L.R.T.
    Gardner, G.A.
    Dag, I.
    Communications in Numerical Methods in Engineering, 1995, 11 (01):
  • [6] Linear B-spline finite element method for the improved Boussinesq equation
    Lin, Qun
    Wu, Yong Hong
    Loxton, Ryan
    Lai, Shaoyong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (02) : 658 - 667
  • [7] A bivariate B-spline finite element method for bending of rectangular plates
    Liu, Huan-Wen
    Cao, Dun-Qian
    Mo, Yong-Xiang
    ISISE 2008: INTERNATIONAL SYMPOSIUM ON INFORMATION SCIENCE AND ENGINEERING, VOL 2, 2008, : 744 - +
  • [8] A B-spline active contour model based on finite element method
    成思源
    Journal of Chongqing University, 2003, (01) : 62 - 65
  • [9] Immersed b-spline (i-spline) finite element method for geometrically complex domains
    Sanches, R. A. K.
    Bornemann, P. B.
    Cirak, F.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (13-16) : 1432 - 1445
  • [10] Linear B-spline finite element method for the generalized diffusion equation with delay
    Lubo, Gemeda Tolessa
    Duressa, Gemechis File
    BMC RESEARCH NOTES, 2022, 15 (01)