Iterative triangularization of updated finite element stiffness matrices

    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

    Language

    English

    First Page

    241

    Last Page

    249

    WOS Identifier

    WOS:000227999700007

    ISSN

    0001-5970

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