STABILITY ANALYSIS OF MIXED FINITE-ELEMENT FORMULATIONS WITH SPECIAL MENTION OF EQUAL-ORDER INTERPOLATIONS

Authors
IDELSOHN S STORTI M NIGRO N
Citation
S. Idelsohn et al., STABILITY ANALYSIS OF MIXED FINITE-ELEMENT FORMULATIONS WITH SPECIAL MENTION OF EQUAL-ORDER INTERPOLATIONS, International journal for numerical methods in fluids, 20(8-9), 1995, pp. 1003-1022
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science","Phsycs, Fluid & Plasmas",Mechanics
Journal title
International journal for numerical methods in fluids → ACNP
ISSN journal
02712091
Volume
20
Issue
8-9
Year of publication
1995
Pages
1003 - 1022
Database
ISI
SICI code
0271-2091(1995)20:8-9<1003:SAOMFF>2.0.ZU;2-B
Abstract
We present a method to assess the stability of pairs of interpolation spaces for mixed formulations. The method is based on a straightforwar d calculation of the eigenvalues of the discrete matrices through Four ier decomposition in plane waves and is intended to give, via straight forward numerical computations, a sharper determination of stability t han the well-known 'patch test' of Zienkiewicz et al. Special attentio n is devoted to the study of stability and accuracy of equal-order int erpolations.