On the use of space–time finite elements in the solution of elasto-dynamic problems with strain discontinuities Original Research Article

The use of a discontinuous Galerkin (DG) formulation for the solution of elasto-dynamic problems with discontinuities in the displacement gradients is examined. Comparisons with exact solutions are presented. The paper demonstrates that space–time finite element methods based on a DG formulation can be very effective in the study of dynamic solid/solid phase transitions as well as dynamic fracture.