Proof of Positive Definiteness of FI and Extended Finite Element Tearing and Interconnecting XFETI | Zendy

Sadeq Obaid Abdulrahman | Zendy; Reese Stefanie | Zendy

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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)

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