Vibrations and often also propagating waves are encountered in several
engineering problems. For their analysis, especially for the analysis
of dynamic interaction effects, the Boundary Element Method (BEM) has
shown to be very appropriate. The method has the great advantage of r
equiring the discretization only on the surface of considered homogene
ous domains. Hence, it is very easy to study effects due to changes of
the domain shape and, especially, of problems involving infinite regi
ons. Moreover, it automatically takes into account the effect of radia
tion to infinity. In this paper, after a short review of the relevant
BEM history, using the direct as well as the indirect method time depe
ndent formulations are presented, while, due to the lack of space, onl
y some references are given to the corresponding frequency domain proc
edures. The wide applicability of the method may also be seen from the
referenced literature.