# 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} }

## 4 Citations

### A parallel solver for FSI problems with fictitious domain approach

- Computer Science
- 2023

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

- Computer Science, MathematicsSIAM Journal on Numerical Analysis
- 2023

We propose an adaptive finite element algorithm to approximate solutions of elliptic problems whose forcing data is locally defined and is approximated by regularization (or mollification). We show…

### A parallel solver for fluid structure interaction problems with Lagrange multiplier

- Computer ScienceArXiv
- 2022

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

- Mathematics, Computer ScienceArXiv
- 2022

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.

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