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This article is cited in 11 scientific papers (total in 11 papers)
Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form
A. A. Kashirin, S. I. Smagin, M. Taltykina Computer Centre of Far Eastern Branch RAS
Abstract:
Interior and exterior three-dimensional Dirichlet problems for the Helmholtz equation are solved numerically. They are formulated as equivalent boundary Fredholm integral equations of the first kind and are approximated by systems of linear algebraic equations, which are then solved numerically by applying an iteration method. The mosaic-skeleton method is used to speed up the solution procedure.
Key words:
Dirichlet problem, Helmholtz equation, integral equation, fast method, mosaic-skeleton method, incomplete cross approximation.
Received: 18.05.2015 Revised: 02.09.2015
Citation:
A. A. Kashirin, S. I. Smagin, M. Taltykina, “Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 625–638; Comput. Math. Math. Phys., 56:4 (2016), 612–625
Linking options:
https://www.mathnet.ru/eng/zvmmf10371 https://www.mathnet.ru/eng/zvmmf/v56/i4/p625
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Abstract page: | 320 | Full-text PDF : | 91 | References: | 71 | First page: | 14 |
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