Absorbing Boundary Conditions for Hyperbolic Systems
Matthias Ehrhardt
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Source: Crossref
Published: Mar 1, 2010
DOI: 10.4208/nmtma.2010.33.3
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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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