WIAS Preprint No. 1421, (2009)

Absorbing boundary conditions for hyperbolic systems



Authors

  • Ehrhardt, Matthias

2010 Mathematics Subject Classification

  • 65M06, 35L50

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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WIAS Preprint No. 1421, (2009)

Absorbing boundary conditions for hyperbolic systems



Authors

  • Ehrhardt, Matthias

2010 Mathematics Subject Classification

  • 65M06, 35L50

Keywords

  • Absorbing boundary conditions, hyperbolic system, Engquist and Majda approach, strict well-posedness, GKS-stability

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.

Download Documents