Displacement/pressure mixed interpolation in the method of finite spheres

Authors
De, S Bathe, KJ
Citation
S. De et Kj. Bathe, Displacement/pressure mixed interpolation in the method of finite spheres, INT J NUM M, 51(3), 2001, pp. 275-292
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
51
Issue
3
Year of publication
2001
Pages
275 - 292
Database
ISI
SICI code
0029-5981(20010530)51:3<275:DMIITM>2.0.ZU;2-4
Abstract
The displacement-based formulation of the method of finite spheres is obser ved to exhibit volumetric 'locking' when incompressible or nearly incompres sible deformations are encountered. In this paper, we present a displacemen t/pressure mixed formulation as a solution to this problem. We analyse the stability and optimality of the formulation for several discretization sche mes using numerical inf-sup tests. Issues concerning computational efficien cy are also discussed. Copyright (C) 2001 John Wiley & Sons, Ltd.