Extending the fast multipole method to charges inside or outside a dielectric sphere
In this paper, we propose a novel method to extend the fast multipole method (FMM) to calculate the electrostatic potential due to charges inside or outside a dielectric sphere. The key result which allows such an extension is the construction of a small number (two for a 10 −2 relative error in rea...
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| Veröffentlicht in: | Journal of computational physics 2007-05, Vol.223 (2), p.846-864 |
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| container_end_page | 864 |
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| container_title | Journal of computational physics |
| container_volume | 223 |
| creator | Cai, Wei Deng, Shaozhong Jacobs, Donald |
| description | In this paper, we propose a novel method to extend the fast multipole method (FMM) to calculate the electrostatic potential due to charges inside or outside a dielectric sphere. The key result which allows such an extension is the construction of a small number (two for a 10
−2 relative error in reaction potentials inside the sphere) of image point charges for source point charges inside or outside the dielectric sphere. Numerical results validate the accuracy and high efficiency of the resulting algorithm. |
| doi_str_mv | 10.1016/j.jcp.2006.10.019 |
| format | Article |
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| ispartof | Journal of computational physics, 2007-05, Vol.223 (2), p.846-864 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete - AutoHoldings |
| subjects | Computational techniques Dielectric sphere Exact sciences and technology Fast multipole method Image charge Mathematical methods in physics Physics |
| title | Extending the fast multipole method to charges inside or outside a dielectric sphere |
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