@Article{NMTMA-3-295, author = {}, title = {Absorbing Boundary Conditions for Hyperbolic Systems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2010}, volume = {3}, number = {3}, pages = {295--337}, 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2010.33.3}, url = {http://global-sci.org/intro/article_detail/nmtma/6001.html} }