Goal-oriented error estimation for Stokes flow interacting with a flexible channel

van der Zee, K.G., van Brummelen, E.H. and De Borst, R. (2008) Goal-oriented error estimation for Stokes flow interacting with a flexible channel. International Journal for Numerical Methods in Fluids, 56(8), pp. 1551-1557. (doi: 10.1002/fld.1652)

Abstract

We develop a goal-oriented error estimator for finite-element discretizations of fluid–structure-interaction problems. As a model problem, we consider the steady Stokes flow in a 2D channel where part of the channel wall is flexible. We introduce the reference domain approach where the Stokes problem on the variable domain is transformed into a fixed reference domain. This allows the formulation of a proper dual problem. The dual solution is then used in the evaluation of the error estimate, as usual.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: De Borst, Professor Rene
• Authors: van der Zee, K.G., van Brummelen, E.H., and De Borst, R.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal for Numerical Methods in Fluids
• ISSN: 0271-2091
• Published Online: 06 November 2007