Quasi-newton methods for partitioned simulation of fluid–structure interaction reviewed in the generalized broyden framework

N Delaissé, T Demeester, R Haelterman… - … Methods in Engineering, 2023 - Springer
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 …

[HTML][HTML] Computational fluid–structure interaction in biology and soft robots: A review

R Pramanik, R Verstappen, PR Onck - Physics of Fluids, 2024 - pubs.aip.org
The omnipresence of fluid–structure interaction (FSI) in biological systems is indisputable—
from the vibration of leaves to the locomotion of fish, to the flying of birds, and to the …

[HTML][HTML] Semi-implicit fluid–structure interaction in biomedical applications

R Schussnig, DRQ Pacheco, M Kaltenbacher… - Computer Methods in …, 2022 - Elsevier
Fluid–structure interaction (FSI) incorporates effects of fluid flows on deformable solids and
vice versa. Complex biomedical problems in clinical applications continue to challenge …

A nonlinear solver based on residual network for seepage equation

D Li, S Lv, W Zha, L Shen, Y **ng - Engineering Applications of Artificial …, 2023 - Elsevier
In reservoir simulation, the linearization process after the discretization of the seepage
equation will additionally introduce new errors, which can be avoided by using a nonlinear …

On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient

V Krutikov, E Tovbis, P Stanimirović, L Kazakovtsev - Mathematics, 2023 - mdpi.com
The main results of the study of the convergence rate of quasi-Newton minimization methods
were obtained under the assumption that the method operates in the region of the extremum …

[HTML][HTML] Efficient split-step schemes for fluid–structure interaction involving incompressible generalised Newtonian flows

R Schussnig, DRQ Pacheco, TP Fries - Computers & Structures, 2022 - Elsevier
Blood flow, dam or ship construction and numerous other problems in biomedical and
general engineering involve incompressible flows interacting with elastic structures. Such …

Time‐continuous and time‐discontinuous space‐time finite elements for advection‐diffusion problems

M Von Danwitz, I Voulis, N Hosters… - International Journal for …, 2023 - Wiley Online Library
We construct four variants of space‐time finite element discretizations based on linear tensor‐
product and simplex‐type finite elements. The resulting discretizations are continuous in …

[HTML][HTML] A memory-efficient MultiVector Quasi-Newton method for black-box Fluid-Structure Interaction coupling

R Zorrilla, R Rossi - Computers & Structures, 2023 - Elsevier
In this work we present a novel Quasi-Newton technique for the black-box partitioned
coupling of interface coupled problems. The new RandomiZed Multi-Vector Quasi-Newton …

A parallel solver framework for fully implicit monolithic fluid-structure interaction

Y Sun, Q Lu, J Liu - Acta Mechanica Sinica, 2025 - Springer
We propose a suite of strategies for the parallel solution of fully implicit monolithic fluid-
structure interaction (FSI). The solver is based on a modeling approach that uses the velocity …

Surrogate-based acceleration of quasi-Newton techniques for fluid-structure interaction simulations

N Delaissé, T Demeester, D Fauconnier… - Computers & …, 2022 - Elsevier
Quasi-Newton methods have proven to be an efficient way to couple partitioned solvers in
fluid-structure interaction problems, as they are able to stabilize cases with high added …