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Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-38, 38 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-17
Country of Publication
Egypt
No. of Pages
38
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Cao, Changyong& Qin, Qing-hua. 2015. Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-38.
https://search.emarefa.net/detail/BIM-1053045
Modern Language Association (MLA)
Cao, Changyong& Qin, Qing-hua. Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications. Advances in Mathematical Physics No. 2015 (2015), pp.1-38.
https://search.emarefa.net/detail/BIM-1053045
American Medical Association (AMA)
Cao, Changyong& Qin, Qing-hua. Hybrid Fundamental Solution Based Finite Element Method: Theory and Applications. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-38.
https://search.emarefa.net/detail/BIM-1053045
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053045