The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems
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;...
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2014-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2014/712834 |
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doaj-23da53c3017345c3986cb04fedc77ae32020-11-24T23:58:49ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/712834712834The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction ProblemsNa Zhao0Hongping Ren1School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSchool of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaAn 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.http://dx.doi.org/10.1155/2014/712834 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Na Zhao Hongping Ren |
spellingShingle |
Na Zhao Hongping Ren The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems Mathematical Problems in Engineering |
author_facet |
Na Zhao Hongping Ren |
author_sort |
Na Zhao |
title |
The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems |
title_short |
The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems |
title_full |
The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems |
title_fullStr |
The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems |
title_full_unstemmed |
The Interpolating Element-Free Galerkin Method for 2D Transient Heat Conduction Problems |
title_sort |
interpolating element-free galerkin method for 2d transient heat conduction problems |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2014-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2014/712834 |
work_keys_str_mv |
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