A nonlinear approach to absorbing boundary conditions for the semilinear wave equation
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Abstract:
We construct a family of absorbing boundary conditions for the semilinear wave equation. Our principal tool is the paradifferential calculus which enables us to deal with nonlinear terms. We show that the corresponding initial boundary value problems are well posed. We finally present numerical experiments illustrating the efficiency of the method.References
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Additional Information
- Jérémie Szeftel
- Affiliation: LAGA UMR 7539, Institut Galilée, Université Paris 13, 99 Avenue J.B.Clément, 93430 Villetaneuse, France
- MR Author ID: 712495
- Email: szeftel@math.univ-paris.13.fr
- Received by editor(s): September 19, 2003
- Received by editor(s) in revised form: April 27, 2005
- Published electronically: February 2, 2006
- © Copyright 2006 American Mathematical Society
- Journal: Math. Comp. 75 (2006), 565-594
- MSC (2000): Primary 35L70, 35S50, 35A21, 35A07, 65M99
- DOI: https://doi.org/10.1090/S0025-5718-06-01820-5
- MathSciNet review: 2196981