Optimal estimation for the Fujino–Morley interpolation error constants

Shih Kang Liao, Yu Chen Shu, Xuefeng Liu

研究成果: Article

1 引文 斯高帕斯(Scopus)

摘要

The quantitative estimation for the interpolation error constants of the Fujino–Morley interpolation operator is considered. To give concrete upper bounds for the constants, which is reduced to the problem of providing lower bounds for eigenvalues of bi-harmonic operators, a new algorithm based on the finite element method along with verified computation is proposed. In addition, the quantitative analysis for the variation of eigenvalues upon the perturbation of the shape of triangles is provided. Particularly, for triangles with longest edge length less than one, the optimal estimation for the constants is provided. An online demo with source codes of the constants calculation is available at http://www.xfliu.org/onlinelab/.

原文English
頁(從 - 到)521-542
頁數22
期刊Japan Journal of Industrial and Applied Mathematics
36
發行號2
DOIs
出版狀態Published - 2019 七月 1

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

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