Governed by: Ministry of Industry and Information Technology of the People's Republic of China
Sponsored by: Northwestern Polytechnical University  Chinese Society Aeronautics and Astronautics
Address: Aviation Building,Youyi Campus, Northwestern Polytechnical University
The weighted energy orthogonal relation of combined hybrid triangular element
Author:
Affiliation:

Northwestern Polytechnical University,Northwestern Polytechnical University

Clc Number:

O242.21

Fund Project:

National Natural Science Foundation of China (No. 11471262, 11501450), the Doctorate Foundation of Northwestern Polytechnical University (No. CX201524)

  • Article
  • |
  • Figures
  • |
  • Metrics
  • |
  • Reference
  • |
  • Related
  • |
  • Cited by
  • |
  • Materials
  • |
  • Comments
    Abstract:

    Combined variation principles can enhance the stability of numerical solution, combined hybrid finite element method of heat transfer equation is built on the basis of the domain decomposition technique. The combined hybrid triangular element, in which the temperature gradient is interpolated by linear polynomials on each element, but the temperature is interpolated by the sum of the linear polynomials and the non-conforming quadratic polynomials, is given. Unlike the combined hybrid rectangular element, only the weighted energy orthogonal relation of the divergence of piecewise linear temperature gradient interpolation and the non-conforming temperature interpolation is given. The stiffness matrix of this element of is equivalent to the conforming triangular linear element, and the non-conforming parts have no contribution to temperature evaluation. At last, the numerical experiments verify the accuracy of the theoretical results.

    Reference
    Related
    Cited by
Get Citation

Zhang Ling, Zhang Weiwei. The weighted energy orthogonal relation of combined hybrid triangular element[J]. Advances in Aeronautical Science and Engineering,2017,8(1):73-77

Copy
Share
Article Metrics
  • Abstract:
  • PDF:
  • HTML:
  • Cited by:
History
  • Received:December 06,2016
  • Revised:December 20,2016
  • Adopted:January 03,2017
  • Online: March 13,2017
  • Published: