Absorbing boundary condition for hyperbolic systems

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Date

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1421

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WIAS Preprints

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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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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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