Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications

Changyong Cao and Qing-Hua Qin

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: An overview on the development of hybrid fundamental solution based finite element method (HFS‐FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS‐FEM for potential problem, plane elasticity, three‐dimensional elasticity, thermoelasticity, anisotropic elasticity, and plane piezoelectricity are presented. In this method, two independent assumed fields (intraelement filed and auxiliary frame field) are employed. The formulations for all cases are derived from the modified variational functionals and the fundamental solutions to a given problem. Generation of elemental stiffness equations from the modified variational principle is also described. Typical numerical examples are given to demonstrate the validity and performance of the HFS‐FEM. Finally, a brief summary of the approach is provided and future trends in this field are identified.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2015/916029

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:916029

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().