A novel conjoined space–time formulation for explicit analyses of dynamic models

In this paper, a novel explicit time-marching procedure is proposed, which adapts to the properties of the spatially discretized model. In this context, the time integrators of the method are locally defined, following the physical/geometrical features of the elements of the adopted spatial discretization, in a way that reduced dissipative and dispersive errors are provided, as well as extended stability limits are enabled. As it is discussed along this manuscript, the proposed novel conjoined space–time solution procedure is very simple to implement and to apply and it allows enhanced performances, providing better accuracy and more efficient analyses than standard time integration techniques. At the end of the paper, numerical results are presented, illustrating the versatility and effectiveness of the proposed new methodology.