A Newton method using exact jacobians for solving fluid-structure coupling
Computers and Structures
Fluid-structure interaction in blood flows on geometries based on medical imaging
Computers and Structures
Benchmark problems for incompressible fluid flows with structural interactions
Computers and Structures
Stability of a coupling technique for partitioned solvers in FSI applications
Computers and Structures
Performance of partitioned procedures in fluid-structure interaction
Computers and Structures
Journal of Computational and Applied Mathematics
On the Similarities Between the Quasi-Newton Inverse Least Squares Method and GMRes
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Accelerated staggered coupling schemes for problems of thermoelasticity at finite strains
Computers & Mathematics with Applications
Letter to the editor: On the non-singularity of the quasi-Newton-least squares method
Journal of Computational and Applied Mathematics
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In this paper a newly developed technique for strongly coupled fluid-structure interaction problems is presented. In order to achieve strong coupling the Jacobian of the fluid and/or structural problem is needed or has to be approximated. A technique is presented which uses the Jacobian from reduced order models that are built up during the coupling iterations. As validation, pressure wave propagation in a blood vessel is computed and as a second example growth and detachment of a gas bubble from a vertical needle submerged in a liquid is simulated. Both examples illustrate the algorithmic performance and show accurate results.