On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction

G Gigante, C Vergara - Computers & Mathematics with Applications, 2021 - Elsevier
We consider a loosely-coupled algorithm for fluid-structure interaction based on a Robin
interface condition for the fluid problem (explicit Robin-Neumann scheme). We study the …

On the choice of interface parameters in Robin–Robin loosely coupled schemes for fluid–structure interaction

G Gigante, C Vergara - Fluids, 2021 - mdpi.com
We consider two loosely coupled schemes for the solution of the fluid–structure interaction
problem in the presence of large added mass effect. In particular, we introduce the Robin …

An extension of explicit coupling for fluid–structure interaction problems

M Bukač - Mathematics, 2021 - mdpi.com
We present an extension of a non-iterative, partitioned method previously designed and
used to model the interaction between an incompressible, viscous fluid and a thick elastic …

Generalized Robin–Neumann explicit coupling schemes for incompressible fluid‐structure interaction: Stability analysis and numerics

MA Fernández, J Mullaert… - International Journal for …, 2015 - Wiley Online Library
We introduce a new class of explicit coupling schemes for the numerical solution of fluid‐
structure interaction problems involving a viscous incompressible fluid and an elastic …

Stabilization of explicit coupling in fluid–structure interaction involving fluid incompressibility

E Burman, MA Fernández - Computer Methods in Applied Mechanics and …, 2009 - Elsevier
In this work, we propose a stabilized explicit coupling scheme for fluid–structure interaction
problems involving a viscous incompressible fluid. The coupled discrete formulation is …

Robin-Robin loose coupling for incompressible fluid-structure interaction: non-linear setting and nearly-optimal error analysis

E Burman, R Durst, MA Fernández, J Guzmán, O Ruz - 2023 - inria.hal.science
The numerical simulation of incompressible fluid-structure interaction systems with loosely
coupled schemes is a delicate problem. Indeed, the splitting method must both be stable for …

Explicit Robin–Neumann schemes for the coupling of incompressible fluids with thin-walled structures

MA Fernández, J Mullaert, M Vidrascu - Computer Methods in Applied …, 2013 - Elsevier
We introduce a class of explicit coupling schemes for the numerical solution of fluid–
structure interaction problems involving a viscous incompressible fluid and a general thin …

Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid–structure interaction: stability and error analysis

E Burman, R Durst, MA Fernández, J Guzmán - Numerische Mathematik, 2022 - Springer
We consider a fully discrete loosely coupled scheme for incompressible fluid–structure
interaction based on the time semi-discrete splitting method introduced in Burman et …

Stability and convergence analysis of the extensions of the kinematically coupled scheme for the fluid-structure interaction

M Bukac, B Muha - SIAM Journal on Numerical Analysis, 2016 - SIAM
In this work we analyze the stability and convergence properties of a loosely-coupled
scheme, called the kinematically coupled scheme, and its extensions for the interaction …

Analysis and acceleration of a fluid-structure interaction coupling scheme

MR Dörfel, B Simeon - … and Advanced Applications 2009: Proceedings of …, 2010 - Springer
The aim of this contribution is to shed new light on the intrinsic properties of fluid-structure
coupling methods. By studying the Dirichlet–Neumann coupling for a one-dimensional …