Title

Iterative Triangularization Of Updated Finite Element Stiffness Matrices

Abstract

In many problems in nonlinear solid mechanics, the finite element method is executed incrementally, with the positive definite stiffness matrix updated after one or more load (or time) increments. In solving the resulting large linear perturbed systems, it is often attractive to use Cholesky triangularization, followed by forward and backward substitution. The present investigation introduces and demonstrates an iterative procedure for updating the triangular factors of the updated stiffness matrix. An approximate convergence criterion is formulated. Simple examples are presented indicating rapid convergence. In the scalar case this method exactly tracks the Taylor series. © Springer-Verlag 2004.

Publication Date

3-1-2005

Publication Title

Acta Mechanica

Volume

174

Issue

3-4

Number of Pages

241-249

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00707-004-0137-7

Socpus ID

15544386271 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/15544386271

This document is currently not available here.

Share

COinS