Finite element simulation of steady state SH wave motion

A discrete local transmitting boundary is combined with a lumped-mass finite element technique for simulating steady SH wave motion in a layered and unbounded medium. The combination decouples any node of the finite element model from the others except those in its neighborhood, and an effective algorithm of the Gauss elimination in implementation of the method is then devised to reduce the main memory and computing time. The method and its accuracy are first analysed via simulating steady SH wave motion in layered elastic media, the effective algorithm is then introduced and illustrated by simple examples.