B-spline collocation methods for elasticity problems

被引:0
|
作者
Sun, WW [1 ]
机构
[1] Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源
关键词
B-spline; collocation method; equations of elasticity;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A class of collocation methods based on B-spline approximations is proposed for solving equations of linear elasticity. Methods can be easily implemented and provide a high order accuracy at low cost due to the nature of both B-spline approximation and collocation method, in which B-spline approximation can be generated by some classical recurrence formulas and no integrals are involved in the calculation. Methods are examined for two examples. Some direct and iterative algorithms for solving the B-spline collocation systems are discussed.
引用
收藏
页码:133 / 141
页数:9
相关论文
共 50 条
  • [1] Solving Buckmaster Equation Using Cubic B-Spline And Cubic Trigonometric B-Spline Collocation Methods
    Chanthrasuwan, Maveeka
    Asri, Nur Asreenawaty Mohd
    Abd Hamid, Nur Nadiah
    Abd Majid, Ahmad
    Azmi, Amirah
    PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [2] Solving Dym Equation using Quartic B-spline and Quartic Trigonometric B-spline Collocation Methods
    Anuar, Hanis Safirah Saiful
    Mafazi, Nur Hidayah
    Abd Hamid, Nur Nadiah
    Abd Majid, Ahmad
    Azmi, Amirah
    PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [3] B-spline collocation methods for numerical solutions of the RLW equation
    Dag, I
    Dogan, A
    Saka, B
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2003, 80 (06) : 743 - 757
  • [4] Simulation of a thermoelectric element using B-spline collocation methods
    Peterson, SW
    Strauss, AM
    SPACE TECHNOLOGY AND APPLICATIONS INTERNATIONAL FORUM - 1998, PTS 1-3: 1ST CONF ON GLOBAL VIRTUAL PRESENCE; 1ST CONF ON ORBITAL TRANSFER VEHICLES; 2ND CONF ON APPLICAT OF THERMOPHYS IN MICROGRAV; 3RD CONF ON COMMERCIAL DEV OF SPACE; 3RD CONF ON NEXT GENERAT LAUNCH SYST; 15TH SYMP ON SPACE NUCL POWER AND PROPULSION, 1998, (420): : 1652 - 1658
  • [5] B-spline collocation methods for numerical solutions of the Burgers' equation
    Dag, I
    Irk, D
    Sahin, A
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2005, (05) : 521 - 538
  • [6] B-spline Collocation Methods for Solving Linear Two-Point Boundary Value Problems
    Khan, Seherish Naz Khalid Ali
    Misro, Md Yushalify
    MATEMATIKA, 2024, 40 (01) : 1 - 16
  • [7] An overdetermined B-spline collocation method for Poisson problems on complex domains
    Zitnan, P.
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (05) : 860 - 867
  • [8] B-spline collocation based approximations for structural problems of fourth order
    Mahapatra, Deepak
    Sanyal, Shubhasis
    Bhowmick, Shubhankar
    UPB Scientific Bulletin, Series D: Mechanical Engineering, 2019, 81 (04): : 213 - 228
  • [9] B-spline collocation method for boundary value problems in complex domains
    Hidayat, Mas Irfan P.
    Ariwahjoedi, Bambang
    Parman, Setyamartana
    INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2016, 7 (02) : 110 - 125
  • [10] B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
    Roul, Pradip
    Goura, V. M. K. Prasad
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 341 : 428 - 450