Advances on finite element discretization of fluid–structure interaction problems
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.
Authors
- Najwa Alshehri (ORCID: https://orcid.org/0000-0002-2953-5557)
- Fabio Credali (ORCID: https://orcid.org/0000-0001-8568-7021)
- Daniele Boffi (ORCID: https://orcid.org/0000-0003-0717-2940)
- Lucia Gastaldi (ORCID: https://orcid.org/0000-0002-8392-0069)
Institutions
- University of Pavia (IT)
- King Abdullah University of Science and Technology (SA)
- University of Brescia (IT)
- Jubail Industrial College (SA)
Publication Details
- Journal
- Arabian Journal of Mathematics
- Published
- 2025-09-30
- DOI
- https://doi.org/10.1007/s40065-025-00570-8
- Primary Topic
- Advanced Numerical Methods in Computational Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- King Abdullah University of Science and Technology
- Gruppo Nazionale per il Calcolo Scientifico