Element-free Galerkin (EFG) method for a kind of two-dimensional linear hyperbolic equation

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,...

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Bibliographic Details
Published inChinese physics B Vol. 18; no. 10; pp. 4059 - 4064
Main Authors Rong-Jun, Cheng, Hong-Xia, Ge
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2009
Subjects
Accuracy
Approximation
Boundary conditions
Degradation
Galerkin methods
Least squares method
Mathematical analysis
Mathematical models
Meshing
Numerical analysis
Positioning
Variational methods
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Summary: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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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/18/10/001