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This article is cited in 5 scientific papers (total in 6 papers)
Computational methods and algorithms
Nonreflecting artificial boundary conditions for change of omitted equations with lacunas
V. S. Ryaben'kii, V. I. Turchaninov, S. V. Tsynkov M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract:
Artificial boundary conditions (ABC) are constracted which are equivalent to 3D-wave
equation outside of unit sphere. The algorithm for using this ABC is also suggested. It demonstrates the ABC and algorithm are effective for calculations on long time.
The ABC and algorithm are based on the method of difference potentials and lacunas of
3D-wave equation solutions.
Received: 12.09.2000
Citation:
V. S. Ryaben'kii, V. I. Turchaninov, S. V. Tsynkov, “Nonreflecting artificial boundary conditions for change of omitted equations with lacunas”, Mat. Model., 12:12 (2000), 108–127
Linking options:
https://www.mathnet.ru/eng/mm1047 https://www.mathnet.ru/eng/mm/v12/i12/p108
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