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Exact non-reflecting boundary conditions
Open accessAbstract
An exact non-reflecting boundary condition is devised for use in solving the reduced wave equation in an infinite domain. The domain is made finite by the introduction of an artificial boundary on which this exact condition is imposed. In the finite domain a finite element method is employed. Although the boundary condition is non-local, that does not affect the efficiency of the computational scheme. Numerical examples are presented which show that the use of the exact non-local boundary condition yields results which are much more accurate than those obtained with various approximate local conditions. The method can also be used to solve problems in large finite domains by reducing them to smaller domains, and it can be adapted to other differential equations.
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Cites
Radiation boundary conditions for wave‐like equations
Bayliss, A., & Turkel, E. (1980) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160330603 · Cited by 1,026
Cited by
Lindgren, F., Rue, H., & Lindström, J. (2011) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2011.00777.x · Cited by 2,708
Non-reflecting boundary conditions
Givoli, D. (1991) · Journal of Computational Physics · doi:10.1016/0021-9991(91)90135-8 · Cited by 709
Self-citationNumerical solution of problems on unbounded domains. A review
Tsynkov, S. V. (1998) · Applied Numerical Mathematics · doi:10.1016/s0168-9274(98)00025-7 · Cited by 599
High-order local non-reflecting boundary conditions: a review
Givoli, D. (2004) · Wave Motion · doi:10.1016/j.wavemoti.2003.12.004 · Cited by 473
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Metadata
- Authors
- Keller, J. B., & Givoli, D.
- Venue
- Journal of Computational Physics
- Publisher
- Elsevier BV
- Published
- 1989-05
- Volume
- 82
- Issue
- 1
- Pages
- 172-192
- ISSN
- 0021-9991 (ISSN-L)
- OpenAlex
- W1986293636
- Cited by
- 645
- References
- 1
- FWCI
- 18.31
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Keller, J. B., & Givoli, D. (1989). Exact non-reflecting boundary conditions. Journal of Computational Physics. https://doi.org/10.1016/0021-9991(89)90041-7
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