The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An interpolating element-free Galerkin (IEFG) method is presented for transient heat conduction problems.
The shape function in the moving least-squares (MLS) approximation does not satisfy the property of Kronecker delta function, so an interpolating moving least-squares (IMLS) method is discussed; then combining the shape function constructed by the IMLS method and Galerkin weak form of the 2D transient heat conduction problems, the interpolating element-free Galerkin (IEFG) method for transient heat conduction problems is presented, and the corresponding formulae are obtained.
The main advantage of this approach over the conventional meshless method is that essential boundary conditions can be applied directly.
Numerical results show that the IEFG method has high computational accuracy.
American Psychological Association (APA)
Zhao, Na& Ren, Hongping. 2014. The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-492576
Modern Language Association (MLA)
Zhao, Na& Ren, Hongping. The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-492576
American Medical Association (AMA)
Zhao, Na& Ren, Hongping. The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-492576
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492576