Advances on the finite element discretization of fluid-structure interaction problems
Numerical Analysis
2025-10-03 v3 Numerical Analysis
Abstract
We review the main features of an unfitted finite element method for interface and fluid-structure interaction problems based on a distributed Lagrange multiplier in the spirit of the fictitious domain approach. We recall our theoretical findings concerning well-posedness, stability, and convergence of the numerical schemes, and discuss the related computational challenges. In the case of elliptic interface problems, we also present a posteriori error estimates.
Cite
@article{arxiv.2505.02594,
title = {Advances on the finite element discretization of fluid-structure interaction problems},
author = {Najwa Alshehri and Daniele Boffi and Fabio Credali and Lucia Gastaldi},
journal= {arXiv preprint arXiv:2505.02594},
year = {2025}
}
Comments
30 pages, 12 figures, 3 tables