Nonreflecting boundary conditions for discrete waves
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2010
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Elsevier
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Carpio Rodríguez, A. M. y Tapiador Fernández, B. «Nonreflecting Boundary Conditions for Discrete Waves». Journal of Computational Physics, vol. 229, n.o 5, marzo de 2010, pp. 1879-96. DOI.org (Crossref), https://doi.org/10.1016/j.jcp.2009.11.013.
Abstract
We introduce a new class of nonreflecting boundary conditions for lattice models, which minimizes reflections at artificial boundaries. Exact integrodifferential boundary conditions for finite chains and half-spaces are obtained by means of Green's functions for initial value problems. Truncating the resulting integrals in time, we obtain absorbing boundary conditions. Numerical tests illustrate the ability of these conditions to suppress reflections.