Premium
Proof of Positive Definiteness of FI and Extended Finite Element Tearing and Interconnecting XFETI
Author(s) -
Sadeq Obaid Abdulrahman,
Reese Stefanie
Publication year - 2009
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200910165
Subject(s) - feti , tearing , positive definiteness , finite element method , element (criminal law) , associative property , mathematics , coupling (piping) , plasticity , pure mathematics , algebra over a field , structural engineering , mechanical engineering , physics , engineering , positive definite matrix , materials science , composite material , eigenvalues and eigenvectors , domain decomposition methods , quantum mechanics , political science , law
We propose a mathematical theorem to prove the positive definiteness of the term FI used in Finite Element Tearing and Interconnecting introduced by Farhat [1]. Furthermore, we introduce a new idea to extend FETI to include non‐self adjoint operators emerging from, for example, elastoplastic large deformation, non‐associative plasticity or when coupling BEM and FEM [2]. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)