Abstract
The strict formulation of the Artificial Boundary Conditions (ABC) in the case of the wave equation is presented. The exact nonlocal ABC are obtained by means of Riemann’s method. The corresponding Riemann’s functions can be used for creating ABC for each Fourier mode. Approximate ABCs are also presented. First order accurate ABC coincides with the well—known ABC ([4],[5]). Second order accurate ABC provide more exact solutions. Comparison of the exact solution with both of approximations demonstrates the advantages of second order accurate ABC. The case of inseparable variables is considered also.
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© 1999 Springer Basel AG
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Radvogin, Y.B., Zaitsev, N.A. (1999). Absolutely Transparent Boundary Conditions for Time-Dependent Wave-Type Problems. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_29
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DOI: https://doi.org/10.1007/978-3-0348-8724-3_29
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9744-0
Online ISBN: 978-3-0348-8724-3
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