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 …

Convergence and error analysis for a class of splitting schemes in incompressible fluid–structure interaction

MA Fernández, J Mullaert - IMA Journal of Numerical Analysis, 2016 - academic.oup.com
This paper is devoted to the convergence analysis of the generalized Robin–Neumann
schemes introduced in Fernández et al.(2015, Generalized Robin–Neumann explicit …

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 …

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 …

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 …

Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis

M Annese, MA Fernández… - IMA Journal of Numerical …, 2023 - academic.oup.com
The numerical approximation of incompressible fluid–structure interaction problems with
Lagrange multiplier is generally based on strongly coupled schemes. This delivers …

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 …

Incremental displacement-correction schemes for incompressible fluid-structure interaction: stability and convergence analysis

MA Fernández - Numerische Mathematik, 2013 - Springer
In this paper we introduce a class of incremental displacement-correction schemes for the
explicit coupling of a thin-structure with an incompressible fluid. These methods enforce a …

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 …

Refactorization of Cauchy's method: A second-order partitioned method for fluid–thick structure interaction problems

M Bukač, A Seboldt, C Trenchea - Journal of Mathematical Fluid …, 2021 - Springer
This work focuses on the derivation and the analysis of a novel, strongly-coupled partitioned
method for fluid–structure interaction problems. The flow is assumed to be viscous and …