On the interface matrix for fluid-structure interaction problems with fictitious domain approach
Numerical Analysis
2022-10-26 v1 Numerical Analysis
Abstract
We study a recent formulation for fluid-structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. In this paper, we focus our attention on a crucial computational aspect regarding the interface matrix for the finite element discretization: it involves integration of functions supported on two different meshes. Several numerical tests show that accurate computation of the interface matrix has to be performed in order to ensure the optimal convergence of the method.
Cite
@article{arxiv.2205.13350,
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 preprint arXiv:2205.13350},
year = {2022}
}
Comments
30 pages, 18 figures