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Essential boundary conditions and multi-point constraints in finite element analysis

Ainsworth, M. (2001) Essential boundary conditions and multi-point constraints in finite element analysis. Computer Methods in Applied Mechanics and Engineering, 190 (48). pp. 6323-6339. ISSN 00457825

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Abstract

The application of boundary conditions and other constraints to the stiffness matrix and load vector is an integral part of any finite element code. This process is usually trivial but can present difficulties to the point where some codes disallow certain combinations of commonly occurring boundary conditions. A general approach to this problem is presented and applied to representative examples. Necessary and sufficient conditions are obtained under which constraints can be applied sequentially. Bounds are obtained for the condition number of the reduced system showing it is essentially the same as for the original problem.

Item type: Article
ID code: 1983
Keywords: finite element analysis, multi-point constraints, Mathematics, Physics and Astronomy(all), Mechanics of Materials, Mechanical Engineering, Computational Mechanics, Computer Science Applications
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Miss Darcy Spiller
    Date Deposited: 25 Oct 2006
    Last modified: 04 Sep 2014 10:50
    URI: http://strathprints.strath.ac.uk/id/eprint/1983

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