Exact Nonreflecting Boundary Condition For Elastic Waves

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 $\mathcal B$, outside of which the medium is assumed to be linear, homogeneous, isotropic, and source-free. It is local in time, nonlocal on $\mathcal B$, 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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