Fluid–structure interaction simulations can be performed in a partitioned way, by coupling a
flow solver with a structural solver. However, Gauss–Seidel iterations between these solvers …

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 …

Within the last decade, very sophisticated numerical methods for the iterative and partitioned
solution of fluid–structure interaction problems have been developed that allow for high …

We prove convergence of Anderson acceleration for a class of nonsmooth fixed-point
problems for which the nonlinearities can be split into a smooth contractive part and a …

Today's multi-physics simulations suffer from a lack of either flexibility or scalability. Only
reconciling both will allow for translating the higher compute power of the forthcoming exa …

Abstract The Quasi-Newton Inverse Least Squares method has become a popular method to
solve partitioned interaction problems. Its performance can be enhanced by using …

The staggered phase field formulation has proved to be a robust formulation for the
modeling of crack nucleation and propagation, but it suffers from a very slow convergence …

We present novel coupling schemes for partitioned multiphysics simulation that combine
four important aspects for strongly coupled problems: implicit coupling per time step, fast and …

Currently, the interaction between free surface flow and an elastic structure is simulated with
monolithic codes which calculate the deformation of the structure and the liquid–gas flow …

This book on solvers for nonlinear equations is a user-oriented guide to algorithms and
implementation. It is a sequel to [111], which used MATLAB for the solvers and examples …