A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions
Numerical Analysis
2017-05-01 v2
Abstract
We study a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. The time discretization of the problem leads to a mixed problem for which a rigorous stability analysis is provided. The finite element space discretization is discussed and optimal convergence estimates are proved.
Cite
@article{arxiv.1510.06856,
title = {A fictitious domain approach with distributed Lagrange multiplier for fluid-structure interactions},
author = {Daniele Boffi and Lucia Gastaldi},
journal= {arXiv preprint arXiv:1510.06856},
year = {2017}
}
Comments
This is a modified version with respect to the published one. It contains complete proofs of the statements of Sections 4 and 5. The published version has correct statements but incomplete proofs