On the interface matrix for fluid-structure interaction problems with fictitious domain approach

@article{Boffi2022OnTI,
  title={On the interface matrix for fluid-structure interaction problems with fictitious domain approach},
  author={Daniele Boffi and Fabio Credali and Lucia Gastaldi},
  journal={ArXiv},
  year={2022},
  volume={abs/2205.13350}
}
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4 Citations
Background Citations
1
Methods Citations
2

4 Citations

A parallel solver for FSI problems with fictitious domain approach

A parallel solver for the solution of structure interaction problems described by the non-stationary incompressible Navier–Stokes equations, while the solid evolution is represented by the elasticity equations is presented.

Adaptive finite element approximations for elliptic problems using regularized forcing data

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A parallel solver for fluid structure interaction problems with Lagrange multiplier

A parallel solver for a formulation of FSI problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method is presented.

Unfitted mixed finite element methods for elliptic interface problems

Numerical results compare the performance of those elements, con-firming the theoretical proofs and verifying that the schemes converge with optimal rate, as well as proposing and proving two schemes with piecewise constant Lagrange multiplier.

References

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  • D. BoffiL. Gastaldi
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    Rendiconti Lincei - Matematica e Applicazioni
  • 2022
A computational model for the simulation of fluid-structure interaction problems based on a fictitious domain approach and various time semi-discretizations that provide unconditionally stable schemes are described.

On the existence and the uniqueness of the solution to a fluid-structure interaction problem

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Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures

FINITE ELEMENT APPROACH TO IMMERSED BOUNDARY METHOD WITH DIFFERENT FLUID AND SOLID DENSITIES

The Immersed Boundary Method (IBM) has been designed by Peskin for the modeling and the numerical approximation of fluid-structure interaction problems, where flexible structures are immersed in a…

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SummaryIn this paper we derive error estimates for a class of finite element approximation of the Stokes equation. These elements, popular among engineers, are conforming lagrangian both in velocity…

On the hyper-elastic formulation of the immersed boundary method

Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆

Flow patterns around heart valves: A numerical method