摘要
Relationship between the radiation conditions at infinity and the transmitting boundary for numerical simulation of the near-field wave motion has been studied in this paper. The conclusion is that the transmitting boundary is approximately equivalent to the radiation conditions at infinity for a large class of infinite media. And the errors of the approximation are of the same order of magnitude as those of the finite elements or finite differences in numerical simulation of wave motion. This result provides a sound theoretical basis for the transmitting boundary used in the numerical simulation of the near-field wave motion and gives a complete explanation for the major experiences accumulated in applications of the transmitting boundary to the numerical simulation.
基金
the Joint Seismological Science Foundation. Prof. Dai Yishan in Harbin Engineering University has read the manuscript and made relevant comments
The expansions of 1/r and r using the Legendre polynomials and the proof of eq
(29) on the properties of
