Nonreflecting boundary conditions for elastodynamic scattering
An exact nonreflecting boundary condition was derived previously for time-dependent elastic waves in three space dimensions [SIAM J. Appl. Math. 60, 803 (2000)]. It is local in time, nonlocal on the artificial boundary, and involves only first derivatives of the displacement. Here it is shown how to combine that boundary condition with finite difference and finite element methods. Stability issues are discussed. Numerical examples with a finite difference method demonstrate the high improvement in accuracy over standard methods. (C) 2000 Academic Press.
nonreflecting boundary conditions elasticity elastic waves wave propagation absorbing boundary conditions time dependent scattering