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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2006

Absorbing boundary conditions for nonlinear scalar partial differential equations

Résumé

We present two strategies dealing with the design of absorbing boundary condi- tions for nonlinear scalar partial differential equations. The first one relies on the linearization of the equation and the second one relies on its paralinearization. We then introduce a finite volume scheme well-suited to our absorbing boundary con- ditions in the case of the semilinear wave equation. We finally present numerical experiments illustrating the efficiency of these methods in the case of semilinear
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hal-00359294 , version 1 (06-02-2009)

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  • HAL Id : hal-00359294 , version 1

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Jérémie Szeftel. Absorbing boundary conditions for nonlinear scalar partial differential equations. Computer Methods in Applied Mechanics and Engineering, 2006, 195, pp.3760-3775. ⟨hal-00359294⟩

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