David M. Cole, Dan D. Kosloff, J. Bernard Minster; A numerical boundary integral equation method for elastodynamics. I. Bulletin of the Seismological Society of America ; 68 (5): 1331–1357. doi:
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The boundary initial value problems of elastodynamics are formulated as boundary integral equations. It is shown that these integral equations may be solved by time-stepping numerical methods for the unknown boundary values. A specific numerical scheme is presented for antiplane strain problems and a numerical example is given.