Table of Content

Open Access iconOpen Access

ARTICLE

Hybrid Finite Element Method Based on Novel General Solutions for Helmholtz-Type Problems

Zhuo-Jia Fu1,2, Wen Chen1, Qing-Hua Qin2,3

Center for Numerical Simulation Software in Engineering and Sciences, Department of Engineering Mechanics, Hohai University, Nanjing, Jiangsu, P.R.China
School of Engineering, Building 32, Australian National University, Canberra, ACT 0200, Australia
Corresponding author. E-mail: qinghua.qin@anu.edu.au.

* Corresponding Author::

Computers, Materials & Continua 2011, 21(3), 187-208. https://doi.org/10.3970/cmc.2011.021.187

Abstract

This paper presents a hybrid finite element model (FEM) with a new type of general solution as interior trial functions, named as HGS-FEM. A variational functional corresponding to the proposed general solution is then constructed for deriving the element stiffness matrix of the proposed element model and the corresponding existence of extremum is verified. Then the assumed intra-element potential field is constructed by a linear combination of novel general solutions at the points on the element boundary under consideration. Furthermore, the independent frame field is introduced to guarantee the intra-element continuity. The present scheme inherits the advantages of hybrid Trefftz FEM (HT-FEM) over the conventional FEM and BEM, and avoids the difficulty in choosing appropriate terms of Trefftz functions in HT-FEM and also removing the troublesome for determining fictitious boundary in hybrid fundamental solution-based FEM (HFS-FEM). The efficiency and accuracy of the proposed model are assessed through several numerical examples.

Keywords


Cite This Article

APA Style
Fu, Z., Chen, W., Qin, Q. (2011). Hybrid finite element method based on novel general solutions for helmholtz-type problems. Computers, Materials & Continua, 21(3), 187-208. https://doi.org/10.3970/cmc.2011.021.187
Vancouver Style
Fu Z, Chen W, Qin Q. Hybrid finite element method based on novel general solutions for helmholtz-type problems. Comput Mater Contin. 2011;21(3):187-208 https://doi.org/10.3970/cmc.2011.021.187
IEEE Style
Z. Fu, W. Chen, and Q. Qin "Hybrid Finite Element Method Based on Novel General Solutions for Helmholtz-Type Problems," Comput. Mater. Contin., vol. 21, no. 3, pp. 187-208. 2011. https://doi.org/10.3970/cmc.2011.021.187



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1661

    View

  • 1367

    Download

  • 0

    Like

Share Link