Work

Advances on finite element discretization of fluid–structure interaction problems

Year: 2025

Type: article

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.

Source: Arabian Journal of Mathematics

DOI: 10.1007/s40065-025-00570-8

Authors: Najwa Alshehri, Daniele Boffi, Fabio Credali, Lucia Gastaldi

Institutions: Jubail Industrial College, University of Pavia, King Abdullah University of Science and Technology, University of Brescia

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", King Abdullah University of Science and Technology, Gruppo Nazionale per il Calcolo Scientifico

Award: G163790046