A finite element algorithm for reanalysis of structures with added degrees of freedom

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Original languageEnglish
Pages (from-to)1791-1801
Journal / PublicationFinite Elements in Analysis and Design
Issue number13-14
Publication statusPublished - Aug 2004


This paper is focused on the reanalysis of structures with added degrees of freedom. By suitably partitioning the extended stiffness matrix, we present a preconditioned conjugate gradient algorithm to analyze the modified structure. The algorithm preserves the ease of implementation and improves significantly the quality of results. In particular, the algorithm can adaptively monitor the accuracy of approximate solutions. It is applicable to general finite element systems. The computational cost is significantly reduced. Numerical examples are given to show the effectiveness of the presented reanalysis algorithm. © 2004 Elsevier B.V. All rights reserved.

Research Area(s)

  • Finite element, Increase of degrees of freedom, Matrix partition, PCG algorithm, Static reanalysis