Nonreflecting boundary conditions for discrete waves

Authors:
A. Carpio;B. Tapiador
Affiliations:
Dep. Matemática Aplicada, Fac. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain;Dep. Matemática Aplicada, Fac. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
Venue:
Journal of Computational Physics
Year:
2010

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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.