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| Solving Helmholtz problem by collocation meshless method based on point interpolation |
| Received:August 07, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20103026 |
| KeyWord:Helmholtz equation meshless method point interpolation method collocation formulation |
| Author | Institution |
| 李美香 |
大连理工大学应用数学系,大连 |
| 张宏伟 |
大连理工大学应用数学系,大连 |
| 李卫国 |
大连理工大学应用数学系,大连 |
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| Abstract: |
| Combining the point interpolation method with trigonometric functions which are used as base functions, a shape function is structured in the local support domain. The shape function has many properties, such as Kronecker functionality, unit decomposition and reproducibility as well as compact properties. Discreting differential equations by the allocation method, a sparse band coefficient matrix is obtained. The GMERS method is used to solve algebraic equations. Two kinds of Helmholtz problem: a boundary layer problem and a wave propagation problem are solved. Numerical examples can be found, and the results are close to the exact solutions. Furthermore, high precision and good convergence could be obtained as the nodes increased. |
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