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Diffusive Realization of the Impedance Operator on Circular Boundary for 2D Wave Equation

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Mathematical and Numerical Aspects of Wave Propagation WAVES 2003

Summary

A new formulation of the perfectly matched operator on circular boundary for 2D wave equation is introduced. It is based on the “diffusive representation”, useful for a wide class of causal operators and which enables exact and easily approximable time-local realisations of dissipative nature.

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References

  1. M.J. Grote & J.B. Keller, Nonreflecting boundary conditions for time-dependent scattering. J. Comput. Phys., 52, 1996.

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  2. G. Montseny, Diffusive representation of pseudo-differential time-operators, ESAIM: Proceedings — Vol.5, 1998, 159–175.

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  3. G. Montseny, J. Audounet & D. Matignon, Perfectly absorbing boundary feedback control for wave equations: a diffusive formulation. 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES’2000), Santiago de Compostela (Espagne), 10–14 Juillet 2000.

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© 2003 Springer-Verlag Berlin Heidelberg

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Levadoux, D., Montseny, G. (2003). Diffusive Realization of the Impedance Operator on Circular Boundary for 2D Wave Equation. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_22

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  • DOI: https://doi.org/10.1007/978-3-642-55856-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62480-3

  • Online ISBN: 978-3-642-55856-6

  • eBook Packages: Springer Book Archive

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