Abstract
The radiation of energy to the far field is an important feature of essentially all wave propagation problems. For numerical simulations, this feature necessitates the introduction of an artificial boundary. In recent years, new techniques based on high-order local and nonlocal boundary conditions have been introduced which are both accurate and inexpensive [7]. However, they are also limited in their applicability, requiring homogeneous media (in the far field) and special artificial boundaries.
Supported in part by NSF Grant DMS-9971772 and NASA Contract NAG3-2692. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the author and do not necessarily reflect the views of NSF or NASA.
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Hagstrom, T. (2003). A New Construction of Perfectly Matched Layers for Hyperbolic Systems with Applications to the Linearized Euler Equations. In: Cohen, G.C., Joly, P., Heikkola, E., Neittaanmäki, P. (eds) Mathematical and Numerical Aspects of Wave Propagation WAVES 2003. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55856-6_20
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DOI: https://doi.org/10.1007/978-3-642-55856-6_20
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