Weighting Function Selection Problem in the Galerkin Method

E. M. Salonen*, R. Kouhia, Rauno Holopainen

*Corresponding author for this work

    Research output: Contribution to journalArticleScientificpeer-review

    Abstract

    When a problem contains more than one unknown function and a corresponding number of differential equations, the contents of the Galerkin method are not necessarily completely clear. This theme is discussed in the paper by considering four example cases: one-dimensional heat conduction, the bending of an Euler-Bernoulli beam, a regenerator problem and an axially moving string problem. A strategy for selection of the proper weighting function is proposed. Some numerical results are presented. Suggestions regarding how a basic finite element course for engineering students might proceed in its initial stages are given.

    Original languageEnglish
    Pages (from-to)115-135
    Number of pages21
    JournalInternational Journal of Mechanical Engineering Education
    Volume41
    Issue number2
    DOIs
    Publication statusPublished - 1 Apr 2013
    MoE publication typeA1 Journal article-refereed

    Keywords

    • Galerkin method
    • selection problem
    • weighting function

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