[HTML][HTML] A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction

M Bucelli, MG Gabriel, A Quarteroni, G Gigante… - Journal of …, 2023 - Elsevier
We present a loosely coupled scheme for the numerical simulation of the cardiac electro-
fluid-structure interaction problem, whose solution is typically computationally intensive due …

Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction

M Bucelli, L Dede, A Quarteroni… - Communications in …, 2023 - re.public.polimi.it
We review and compare different fluid-structure interaction (FSI) numerical methods in the
context of heart modeling, aiming at assessing their computational efficiency for cardiac …

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 …

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 …

[HTML][HTML] Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics

G Rozema, AEP Veldman, NM Maurits - Applied Numerical Mathematics, 2023 - Elsevier
The paper describes the numerical coupling challenges in multiphysics problems like the
simulation of blood flow in compliant arteries. In addition to an iterative coupling between the …

A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems

E Burman, R Durst, MA Fernández, J Guzmán… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider a parabolic-parabolic interface problem and construct a loosely coupled
prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J …

Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method

E Burman, R Durst, MA Fernández, J Guzmán… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and
analyzed in [J. Numer. Math., 31 (1): 59--77, 2023] for a parabolic-parabolic interface …

Semi-monolithic formulation based on a projection method for simulating fluid–structure interaction problems

ST Ha, HG Choi - Computers & Mathematics with Applications, 2023 - Elsevier
For the simulation of fluid–structure interaction (FSI) problems, the monolithic method
provides more robust convergence than the partitioned method but requires solving a larger …

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 …

Insights into the performance of loosely-coupled FSI schemes based on Robin boundary conditions

C Kadapa - arXiv preprint arXiv:2105.14831, 2021 - arxiv.org
Robin boundary conditions are a natural consequence of employing Nitsche's method for
imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI …