Cut finite element method–based approaches toward challenging fluid‐structure interaction
(FSI) are proposed. The different considered methods combine the advantages of competing …

The paper deals with the rebound of an elastic solid off a rigid wall of a container filled with
an incompressible Newtonian fluid. Our study focuses on a collision-free bounce, meaning a …

Fluid–structure interaction with contact poses profound mathematical and numerical
challenges, particularly when considering realistic contact scenarios and the influence of …

We evaluate a number of different finite-element approaches for fluid–structure (contact)
interaction problems against data from physical experiments. This consists of trajectories of …

We present a new approach for the mechanically consistent modelling and simulation of
fluid–structure interactions (FSI) with contact. The fundamental idea consists of combining a …

We present a stability analysis of the Discontinuous Galerkin method on polygonal and
polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete …

The focus of this contribution is the numerical treatment of interface coupled problems
concerning the interaction of incompressible fluid flow and permeable, elastic structures …

Code generation technology has been transformative to the field of numerical partial
differential equations (PDEs), allowing domain scientists and engineers to automatically …

Considering the flow through biological or engineered valves as an example, there is a
variety of applications in which the topology of a fluid domain changes over time. This …

Modern approaches to modelling cardiac perfusion now commonly describe the
myocardium using the framework of poroelasticity. Cardiac tissue can be described as a …