TY - JOUR
T1 - Absorbing Boundary Conditions for Hyperbolic Systems
AU - Matthias Ehrhardt
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 295
EP - 337
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2010.33.3
UR - https://global-sci.org/intro/article_detail/nmtma/6001.html
KW - Absorbing boundary conditions, hyperbolic system, Engquist and Majda approach, strict well-posedness, GKS-stability.
AB - <p style="text-align: justify;">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.</p>