Speaker
Description
In this presentation, we propose and computationally investigate a monolithic space–time multi-rate scheme for coupled problems. The novelty lies in the monolithic formulation of the multi-rate approach as this requires a careful design of the functional framework, corresponding discretization, and implementation. Our method of choice is a tensor-product Galerkin space–time discretization. The developments are carried out for both prototype interface- and volume coupled problems such as coupled wave-heat-problems and a displacement equation coupled to Darcy flow in a poroelastic medium. The latter is applied to the well-known Mandel’sbenchmark and a three-dimensional footing problem. Detailed computational investigations and convergence analyses give evidence that our monolithic multirate framework performs well.
