Absorbing Boundary Conditions for Hyperbolic Systems |
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| Authors: | Matthias Ehrhardt |
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| Institution: | Lehrstuhl für Angewandte Mathematik und Numerische Analysis,Fachbereich C Mathematik und Naturwissenschaften,Bergische Universit(a)t Wuppertal,Gauβstrasse 20,42119 Wuppertal,Germany |
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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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| Keywords: | Absorbing boundary conditions hyperbolic system Engquist and Majda approach strict well-posedness GKS-stability |
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