Absorbing Boundary Conditions for Hyperbolic Systems

Absorbing Boundary Conditions for Hyperbolic Systems

Year:    2010

Numerical Mathematics: Theory, Methods and Applications, Vol. 3 (2010), Iss. 3 : pp. 295–337

Abstract

This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions. We prove the strict well-posedness of the resulting initial boundary value problem in 1D. Afterwards we establish the GKS-stability of the corresponding Lax-Wendroff-type finite difference scheme. Hereby, we have to extend the classical proofs, since the (discretized) absorbing boundary conditions do not fit the standard form of boundary conditions for hyperbolic systems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2010.33.3

Numerical Mathematics: Theory, Methods and Applications, Vol. 3 (2010), Iss. 3 : pp. 295–337

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    43

Keywords:    Absorbing boundary conditions hyperbolic system Engquist and Majda approach strict well-posedness GKS-stability.

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