A new family of second-order absorbing boundary conditions for the acoustic wave equation - Part I: Construction and mathematical analysis

Hélène Barucq 1, 2 Julien Diaz 1, 2 Véronique Duprat 1, 2
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : This paper adresses the question of constructing and analysing a one-parameter family of absorbing boundary conditions for the acoustic wave equation. We study the well-posedness of the corresponding boundary value problem and the long-time behavior of the solution.
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Hélène Barucq, Julien Diaz, Véronique Duprat. A new family of second-order absorbing boundary conditions for the acoustic wave equation - Part I: Construction and mathematical analysis. [Research Report] RR-7553, INRIA. 2011. ⟨inria-00570301⟩

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