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Long-Time Stability Analysis of Acoustic Absorbing Boundary Conditions for Regular-Shaped Surfaces
Abstract : This work deals with the stability analysis of a one-parameter family of Absorbing Boundary Conditions (ABC) that have been derived for the acoustic wave equation. We tackle the problem of long-term stability of the wave field both at the continuous and the numerical levels. We first define a function of energy and we show that it is decreasing in time. Its discrete form is also decreasing under a Courant-Friedrichs-Lewy (CFL) condition that does not depend on the ABC. Moreover, the decay rate of the continuous energy can be determined: it is exponential if the computational domain is star-shaped and this property can be illustrated numerically.
Cited literature [14 references]
https://hal.inria.fr/hal-00759451
Contributor : Julien Diaz <>
Submitted on : Friday, November 21, 2014 - 2:26:34 PM
Last modification on : Friday, January 15, 2021 - 9:23:24 AM
Long-term archiving on: : Friday, April 14, 2017 - 7:56:04 PM
Contributor : Julien Diaz <>
Submitted on : Friday, November 21, 2014 - 2:26:34 PM
Last modification on : Friday, January 15, 2021 - 9:23:24 AM
Long-term archiving on: : Friday, April 14, 2017 - 7:56:04 PM
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