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An exact nonreflecting boundary condition is derived for the time-dependent elastic wave equation in three space dimensions. This condition holds on a spherical surface B, outside of which the medium is assumed to be linear, homogeneous, isotropic, and source-free. It is local in time, nonlocal on B, and involves only first derivatives of the solution. Therefore it can be combined easily with any numerical method in the interior region.
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Keller et al. (2000) studied this question.
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