| Element-free Galerkin （EFG） method for a kind of two-dimensional linear hyperbolic equation |
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| 引用本文： | 程荣军,程玉民,葛红霞.Element-free Galerkin （EFG） method for a kind of two-dimensional linear hyperbolic equation[J].中国物理 B,2009,18(10):4059-4064. |
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| 作者姓名： | 程荣军 程玉民 葛红霞 |
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| 作者单位： | (1)Faculty of Science, Ningbo University, Ningbo , China; (2)Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; (3)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 基金项目： | Project supported by the Natural
Science Foundation of Ningbo, China (Grant Nos 2009A610014,
2009A610154, 2008A610020 and 2007A610050). |
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| 摘 要： | The present paper deals with the numerical solution of
a two-dimensional linear hyperbolic equation by using the element-free
Galerkin (EFG) method which is based on the moving least-square
approximation for the test and trial functions. A variational method
is used to obtain the discrete equations, and the essential boundary
conditions are enforced by the penalty method. Compared with
numerical methods based on mesh, the EFG method for hyperbolic
problems needs only the scattered nodes instead of meshing the
domain of the problem. It neither requires any element connectivity
nor suffers much degradation in accuracy when nodal arrangements are
very irregular. The effectiveness of the EFG method for two-dimensional
hyperbolic problems is investigated by two numerical examples in
this paper.
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| 关 键 词： | element-free Galerkin (EFG) method meshless method hyperbolic problem |
| 收稿时间： | 2009-02-12 |
| 修稿时间： | 4/8/2009 12:00:00 AM |
Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation |
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| Cheng Rong-Jun,Cheng Yu-Min and Ge Hong-Xia.Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation[J].Chinese Physics B,2009,18(10):4059-4064. |
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| Authors: | Cheng Rong-Jun Cheng Yu-Min and Ge Hong-Xia |
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| Institution: | Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China; Faculty of Science, Ningbo University, Ningbo , China |
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| Abstract: | The present paper deals with the numerical solution of
a two-dimensional linear hyperbolic equation by using the element-free
Galerkin (EFG) method which is based on the moving least-square
approximation for the test and trial functions. A variational method
is used to obtain the discrete equations, and the essential boundary
conditions are enforced by the penalty method. Compared with
numerical methods based on mesh, the EFG method for hyperbolic
problems needs only the scattered nodes instead of meshing the
domain of the problem. It neither requires any element connectivity
nor suffers much degradation in accuracy when nodal arrangements are
very irregular. The effectiveness of the EFG method for two-dimensional
hyperbolic problems is investigated by two numerical examples in
this paper. |
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| Keywords: | element-free Galerkin (EFG)
method meshless method hyperbolic problem |
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