Absorbing Boundary Conditions for Hyperbolic Systems
Matthias EhrhardtLehrstuhl fr Angewandte Mathematik und Numerische Analysis, Fachbereich C Mathematik und Naturwissenschaften, Bergische Universitt Wuppertal, Gaustrasse 20, 42119 Wuppertal, Germany
2010en
ABI
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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