GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Journal of Computational Physics
Hybrid Krylov methods for nonlinear systems of equations
SIAM Journal on Scientific and Statistical Computing
Simulating free surface flows with SPH
Journal of Computational Physics
Matrix computations (3rd ed.)
A fluid-structure interaction method with solid-rigid contact for heart valve dynamics
Journal of Computational Physics
Journal of Computational Physics
Fluid-shell structure interaction analysis by coupled particle and finite element method
Computers and Structures
Mesh deformation based on radial basis function interpolation
Computers and Structures
Application of Navier-Stokes simulations for aeroelastic stability assessment in transonic regime
Computers and Structures
Comparison of various fluid-structure interaction methods for deformable bodies
Computers and Structures
Implicit coupling of partitioned fluid-structure interaction problems with reduced order models
Computers and Structures
Stability of a coupling technique for partitioned solvers in FSI applications
Computers and Structures
Modeling accidental-type fluid-structure interaction problems with the SPH method
Computers and Structures
The Quasi-Newton Least Squares Method: A New and Fast Secant Method Analyzed for Linear Systems
SIAM Journal on Numerical Analysis
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
Fluid-structure interactions using different mesh motion techniques
Computers and Structures
Structural and Multidisciplinary Optimization
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Partitioned simulations of fluid-structure interaction can be solved for the interface's position with Newton-Raphson iterations but obtaining the exact Jacobian is impossible if the solvers are ''black boxes''. It is demonstrated that only an approximate Jacobian is needed, as long as it describes the reaction to certain components of the error on the interface's position. Based on this insight, a quasi-Newton coupling algorithm with an approximation for the inverse of the Jacobian (IQN-ILS) has been developed and compared with a monolithic solver in previous work. Here, IQN-ILS is compared with other partitioned schemes such as IBQN-LS, Aitken relaxation and Interface-GMRES(R).