PFEM FORMALISM IN KRONECKER NOTATION

Citation
Ym. Zhang et al., PFEM FORMALISM IN KRONECKER NOTATION, Mathematics and mechanics of solids, 1(4), 1996, pp. 445-461
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mechanics,"Material Science","Engineering, Mechanical
ISSN journal
10812865
Volume
1
Issue
4
Year of publication
1996
Pages
445 - 461
Database
ISI
SICI code
1081-2865(1996)1:4<445:PFIKN>2.0.ZU;2-9
Abstract
This paper extends the probabilistic finite element method (PFEM) to v ector-valued and matrix-valued functions using techniques from matrix calculus and Kronecker algebra; and presents the PFEM in Kronecker not ation for linear and nonlinear continua. The results derived are easil y amenable to computational procedures.