C0IPG adaptive algorithms for the biharmonic eigenvalue problem

被引:0
|
作者
Hao Li
Yidu Yang
机构
[1] Guizhou Normal University,School of Mathematical Sciences
来源
Numerical Algorithms | 2018年 / 78卷
关键词
IPG methods; A posteriori error analysis; Adaptive algorithms; The biharmonic eigenvalue problem;
D O I
暂无
中图分类号
学科分类号
摘要
This paper focuses on C0IPG adaptive algorithms for the biharmonic eigenvalue problem with the clamped boundary condition. We prove the reliability and efficiency of the a posteriori error indicator of the approximating eigenfunctions and analyze the reliability of the a posteriori error indicator of the approximating eigenvalues. We present two adaptive algorithms, and numerical experiments indicate that both algorithms are efficient.
引用
收藏
页码:553 / 567
页数:14
相关论文
共 50 条
  • [1] C 0IPG adaptive algorithms for the biharmonic eigenvalue problem
    Li, Hao
    Yang, Yidu
    NUMERICAL ALGORITHMS, 2018, 78 (02) : 553 - 567
  • [2] A New Method using C0IPG for the Biharmonic Eigenvalue Problem
    Xi, Yingxia
    Ji, Xia
    JOURNAL OF SCIENTIFIC COMPUTING, 2022, 90 (03)
  • [3] An adaptive C0IPG method for the Helmholtz transmission eigenvalue problem
    Hao Li
    Yidu Yang
    Science China Mathematics, 2018, 61 : 1519 - 1542
  • [4] C0IPG for a Fourth Order Eigenvalue Problem
    Ji, Xia
    Geng, Hongrui
    Sun, Jiguang
    Xu, Liwei
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 19 (02) : 393 - 410
  • [5] THE TWO-GRID AND MULTIGRID DISCRETIZATIONS OF THE C0IPG METHOD FOR BIHARMONIC EIGENVALUE PROBLEM
    Li, Hao
    Bi, Hai
    Yang, Yidu
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (05): : 1775 - 1789
  • [6] A C0IPG method and its error estimates for the Helmholtz transmission eigenvalue problem
    Yang, Yidu
    Bi, Hai
    Li, Hao
    Han, Jiayu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 326 : 71 - 86
  • [7] An adaptive C 0IPG method for the Helmholtz transmission eigenvalue problem
    Li, Hao
    Yang, Yidu
    SCIENCE CHINA-MATHEMATICS, 2018, 61 (08) : 1519 - 1542
  • [8] An adaptive C~0IPG method for the Helmholtz transmission eigenvalue problem
    Hao Li
    Yidu Yang
    Science China(Mathematics), 2018, 61 (08) : 1519 - 1542
  • [9] Adaptive Morley element algorithms for the biharmonic eigenvalue problem
    Hao Li
    Yidu Yang
    Journal of Inequalities and Applications, 2018
  • [10] Adaptive Morley element algorithms for the biharmonic eigenvalue problem
    Li, Hao
    Yang, Yidu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,