Paper Info
Title
Numerical analysis of a linearised fluid-structure interaction problem
Abstract
Summary.   This paper describes the numerical analysis of a time dependent linearised fluid structure interaction problems involving a very viscous fluid and an elastic shell in small displacements. For simplicity, all changes of geometry are neglected. A single variational formulation is proposed for the whole problem and generic discretisation strategies are introduced independently on the fluid and on the structure. More precisely, the space approximation of the fluid problem is realized by standard mixed finite elements, the shell is approximated by DKT finite elements, and time derivatives are approximated either by midpoint rules or by backward difference formula. Using fundamental energy estimates on the continuous problem written in a proper functional space, on its discrete equivalent, and on an associated error evolution equation, we can prove that the proposed variational problem is well posed, and that its approximation in space and time converges with optimal order to the continuous solution.
Year
DOI
Venue
2000
10.1007/s002110000183
Numerische Mathematik
Keywords
DocType
Volume
finite element,function space,viscous fluid,numerical analysis
Journal
87
Issue
ISSN
Citations 
2
0029-599X
5
PageRank 
References 
Authors
0.58
0
2
Name
Order
Citations
PageRank
Patrick Le Tallec1133.66
Saloua Mani Aouadi272.49