A dual‐primal FETI method for solving a class of fluid–structure interaction problems in the frequency domain
Abstract
The dual‐primal finite element tearing and interconnecting method (FETI‐DP) is extended to systems of linear equations arising from a finite element discretization for a class of fluid–structure interaction problems in the frequency domain. A preconditioned generalized minimal residual method is used to solve the linear equations for the Lagrange multipliers introduced on the subdomain boundaries to enforce continuity of the solution. The coupling between the fluid and the structure on the fluid–structure interface requires an appropriate choice of coarse level degrees of freedom in the FETI‐DP algorithm to achieve fast convergence. Several choices are proposed and tested by numerical experiments on three‐dimensional fluid–structure interaction problems in the mid‐frequency regime that demonstrate the greatly improved performance of the proposed algorithm over the standard FETI‐DP method. Copyright © 2011 John Wiley & Sons, Ltd.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Sep 13, 2011
- Source ID
- 10.1002/nme.3243
Entities
People
- Charbel Farhat
- Li Jing
- Philip Avery
- Radek Tezaur
Organizations
- Kent State University
- National Science Foundation
- Office of Naval Research
- Stanford University