Title

Iterative triangularization of updated finite element stiffness matrices

Authors

Authors

D. W. Nicholson

Comments

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Abbreviated Journal Title

Acta Mech.

Keywords

Mechanics

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.

Journal Title

Acta Mechanica

Volume

174

Issue/Number

3-4

Publication Date

1-1-2005

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00707-004-0137-7

Language

English

First Page

241

Last Page

249

WOS Identifier

WOS:000227999700007

ISSN

0001-5970

Recommended Citation

"Iterative triangularization of updated finite element stiffness matrices" (2005). Faculty Bibliography 2000s. 5513.
https://stars.library.ucf.edu/facultybib2000/5513