Absorbing boundary conditions for nonlinear scalar partial differential equations

Jérémie Szeftel (1, 2)

1 MAB - Laboratoire de Mathématiques Appliquées de Bordeaux
2 IMB - Institut de Mathématiques de Bordeaux

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

Keywords: nonlinear scalar partial differential equations; absorbing boundary conditions; finite volume schemes

Domains: Numerical Analysis [math.NA]

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⟩