Absorbing boundary conditions for nonlinear scalar partial differential equations

17Citations
Citations of this article
24Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We present two strategies dealing with the design of absorbing boundary conditions 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 conditions in the case of the semilinear wave equation. We finally present numerical experiments illustrating the efficiency of these methods in the case of semilinear wave equations and of nonlinear Schrödinger equations. © 2005 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Szeftel, J. (2006). Absorbing boundary conditions for nonlinear scalar partial differential equations. Computer Methods in Applied Mechanics and Engineering, 195(29–32), 3760–3775. https://doi.org/10.1016/j.cma.2005.03.009

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free