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Report 1998-08
Exact Nonreflecting Boundary Conditions For Elastic Waves
M.J. Grote and J.B. Keller
Abstract: 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 ${\cal B}$, outside of which the medium is assumed to be linear, homogeneous, isotropic, and source-free. It is local in time, nonlocal on $\cal B$, and involves only first derivatives of the solution. Therefore it can be combined easily with any numerical method in the interior region.
Keywords: elastic waves, wave propagation, nonreflecting boundary conditions, absorbing boundary conditions, scattering theory
Paper: Available as PDF (345 KB) or as hardcopy to order reports@sam.math.ethz.ch.
Publishing information: SIAM J. Appl. Math.
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