Résumé
We present a space-time finite element method (STFEM) for linearised elastodynam-ics in three dimensions in space and one in time. For that purpose, we have developed a technique of four-dimensional (4D) mesh generation adapted to space-time remesh-ing. This original technique does not require coarse-to-fine and fine-to-coarse mesh transfer operators and does not increase the size of linear systems to be solved, com-pared to the traditional finite element method. Space-time meshes are composed of simplex finite elements. Computations are realized in the context of the dontinuous Galerkin method. Our technique of mesh adaptation is applied to a problem of mobile loading, where the evolutionary mesh is able to follow the mobile loading zone.