Incompressibility in the multimodel Arlequin framework. (15th March 2013)

• Record Type: Journal Article
• Authors: Jamond, Olivier; Dhia, Hachmi Ben
• Is Part Of: International journal for numerical methods in engineering. Volume 94:Number 4(2013)
• Page Start: 374
• Page End: 399
• Publication Date: 2013-03-15
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4454
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4454-abs-0001"> <title>SUMMARY</title> <p id="nme4454-para-0001">In this paper, we show how one can account for the incompressibility constraint within the multimodel Arlequin framework. The main issue is the treatment of a double constraining of the displacement fields in the gluing model zone. An elastic incompressible structure problem is considered. An incompressible Arlequin formulation of this problem is developed and supported by a stability and consistency result. Its discretization by means of mixed finite elements is detailed. The <italic>Inf–Sup</italic> condition is numerically discussed for different choices of the Arlequin method parameters. Several numerical tests are conducted and practical recommendations for appropriate choices of these parameters are clearly stated. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>