Space/time multigrid for a fluid--structure-interaction problem
Applied Numerical Mathematics
Space---time SUPG finite element computation of shallow-water flows with moving shorelines
Computational Mechanics
A parallel sparse algorithm targeting arterial fluid mechanics computations
Computational Mechanics
Stabilized space---time computation of wind-turbine rotor aerodynamics
Computational Mechanics
Multiscale space---time fluid---structure interaction techniques
Computational Mechanics
Space---time FSI modeling and dynamical analysis of spacecraft parachutes and parachute clusters
Computational Mechanics
Patient-specific computer modeling of blood flow in cerebral arteries with aneurysm and stent
Computational Mechanics
Space---time computation techniques with continuous representation in time (ST-C)
Computational Mechanics
Space---time VMS computation of wind-turbine rotor and tower aerodynamics
Computational Mechanics
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Subiteration forms the basic iterative method for solving the aggregated equations in fluid-structure-interaction problems, in which the fluid and structure equations are solved alternatingly subject to complementary partitions of the interface conditions. In the present work we establish for a prototypical model problem that the subiteration method can be characterized by recursion of a nonnormal operator. This implies that the method typically converges nonmonotonously. Despite formal stability, divergence can occur before asymptotic convergence sets in. It is shown that the transient divergence can amplify the initial error by many orders of magnitude, thus inducing a severe degradation in the robustness and efficiency of the subiteration method. Auxiliary results concern the dependence of the stability and convergence of the subiteration method on the physical parameters in the problem and on the computational time step.