We investigate quasi-explicit time-integration schemes for solving dynamic fracture problems with set-valued cohesive zone models. These schemes combine a central difference time-integration scheme and a partially implicit and lumped treatment of the cohesive forces. At each time step, the displacements of the nodes in the interior of the domain are computed in an explicit way, while the displa...

11 Current sea ice models use numerical schemes based on a splitting in time 12 between the momentum and continuity equations. Because the ice strength 13 is explicit when solving the momentum equation, this can create unrealis14 tic ice stress gradients when using a large time step. As a consequence, 15 noise develops in the numerical solution and these models can even become 16 numerically un...

In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach is based on adding symmetric positive-definite term to mass matrix that follows from integral traction jump across boundaries. The added weighted by small factor, which derive suitable, and simple, element-local param...