Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
In this work, a meshless scheme is presented for the fast simulation of multi-dimensional wave problems. The present method is rather simple and straightforward. The Houbolt method is used to eliminate the time dependence of spatial variables. Then the original wave problem is converted into equival...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2016-08, Vol.72 (3), p.555-567 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Lin, Ji Chen, C.S. Liu, Chein-Shan Lu, Jun |
| description | In this work, a meshless scheme is presented for the fast simulation of multi-dimensional wave problems. The present method is rather simple and straightforward. The Houbolt method is used to eliminate the time dependence of spatial variables. Then the original wave problem is converted into equivalent systems of modified Helmholtz equations. The sparse scheme of the method of fundamental solutions in combination with the localized method of approximate particular solutions is employed for efficient implementation of spatial variables. To demonstrate the effectiveness and simplicity of this new approach, three numerical examples have been assessed with excellent performance. |
| doi_str_mv | 10.1016/j.camwa.2016.05.016 |
| format | Article |
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| ispartof | Computers & mathematics with applications (1987), 2016-08, Vol.72 (3), p.555-567 |
| issn | 0898-1221 1873-7668 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present); EZB-FREE-00999 freely available EZB journals |
| subjects | Approximation Computer simulation Equivalence Fast simulation Finite element method Helmholtz equations Localized method of approximate particular solutions Mathematical analysis Mathematical models Method of fundamental solutions Modified Helmholtz equation Sparse scheme Time dependence Wave propagation |
| title | Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions |
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