Bivariate C1 cubic spline space over a nonuniform type-2 triangulation and its subspaces with boundary conditions

被引:8
|
作者
Liu, HW [1 ]
Hong, D
Cao, DQ
机构
[1] Guangxi Univ Nationalities, Dept Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China
[2] E Tennessee State Univ, Dept Math, Johnson City, TN 37614 USA
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
bivariate C-1 cubic spline space; boundary conditions; dimension and basis; nonuniform type-2 triangulation;
D O I
10.1016/j.camwa.2004.08.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we discuss the algebraic structure of bivariate C-1 cubic spline spaces over nonuniform type-2 triangulation and its subspaces with boundary conditions. The dimensions of these spaces are determined and their local support bases are constructed. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1853 / 1865
页数:13
相关论文
共 34 条
  • [1] On the dimension of bivariate C1 cubic spline space with homogeneous boundary conditions over a CT triangulation
    Gong, Dian-Xuan
    Lang, Feng-Gong
    [J]. INTELLIGENT STRUCTURE AND VIBRATION CONTROL, PTS 1 AND 2, 2011, 50-51 : 488 - +
  • [2] Bivariate C1 cubic spline spaces with homogeneous boundary conditions over FVS triangulation
    Lang, Feng-Gong
    Wang, Ren-Hong
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (03) : 464 - 473
  • [3] THE SPLINE SPACES WITH BOUNDARY CONDITIONS ON NONUNIFORM TYPE-2 TRIANGULATION
    王仁宏
    何天晓
    [J]. Science Bulletin, 1985, (07) : 858 - 861
  • [4] A bivariate C1 cubic super spline space on Powell-Sabin triangulation
    Chen, Sun-Kang
    Liu, Huan-Wen
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (05) : 1395 - 1401
  • [5] Optimal bivariate C1 cubic quasi-interpolation on a type-2 triangulation
    Barrera, D.
    Guessab, A.
    Ibanez, M. J.
    Nouisser, O.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (04) : 1188 - 1199
  • [6] INTERPOLATION SCHEME BY C1 CUBIC-SPLINES ON A NONUNIFORM TYPE-2 TRIANGULATION OF A RECTANGULAR DOMAIN
    JEEAWOCKZEDEK, F
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (05): : 413 - 418
  • [7] Bivariate C1 cubic spline space over Powell-Sabin's type-1 refinement
    School of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, China
    不详
    [J]. J. Inf. Comput. Sci., 2007, 1 (151-160):
  • [8] A bivariate C1 cubic spline space on Wang's refinement
    Liu, Huan-Wen
    Lu, Wei-Ping
    [J]. 2009 INTERNATIONAL CONFERENCE ON COMPUTER ENGINEERING AND TECHNOLOGY, VOL I, PROCEEDINGS, 2009, : 243 - +
  • [9] Local Lagrange Interpolations by Bivariate Cubic Splines with Boundary Conditions on Nonuniform Type-2 Triangulations
    Yu, Jinhong
    Liu, Huan-Wen
    [J]. INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 1, PROCEEDINGS, 2009, : 140 - 144
  • [10] Bivariate C1 cubic spline spaces over even stratified triangulations
    Liu, HW
    Hong, D
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2002, 4 (01) : 19 - 35