The use of parallel computers makes simulation of elastic waves feasible th
roughout large structures by means of recent advances in domain decompositi
on methods. We introduce a competitive parallel algorithm for the propagati
on of elastic waves in complex heterogeneous media using finite-element dis
cretization. This parallel method, called the multiblock method, performs m
ore efficiently than classical domain decomposition techniques based on sub
structuration, such as the Schur complement technique. It reduces considera
bly the amount of communication amongst processors because the interface pr
oblem between subdomains is solved by taking advantage of Huygens' principl
e for wave propagation. We provide some numerical examples and detailed stu
dies on the efficiency and performance of the algorithm, proving that it is
competitive and less costly, from the computational viewpoint, than algori
thms based on the Schur technique.