Partial selective reduced integration schemes and kinematically linked interpolations for plate bending problems

Citation
F. Auricchio et C. Lovadina, Partial selective reduced integration schemes and kinematically linked interpolations for plate bending problems, MATH MOD M, 9(5), 1999, pp. 693-722
Citations number
29
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN journal
02182025 → ACNP
Volume
9
Issue
5
Year of publication
1999
Pages
693 - 722
Database
ISI
SICI code
0218-2025(199907)9:5<693:PSRISA>2.0.ZU;2-F
Abstract
Some finite elements for the approximation to the solution of the Reissner- Mindlin plate problem are presented. All of them take advantage of a stabil ization technique recently proposed by Arnold and Brezzi. Moreover, a kinem atically linked interpolation approach has been used to improve the converg ence features. A general theoretical analysis of stability and convergence is also provided, together with extensive numerical tests.