Weighting Function Selection Problem in the Galerkin Method

E. M. Salonen; R. Kouhia; Rauno Holopainen

doi:10.7227/IJMEE.41.2.5

Weighting Function Selection Problem in the Galerkin Method

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	115-135
Number of pages	21
Journal	International Journal of Mechanical Engineering Education
Volume	41
Issue number	2
DOIs	https://doi.org/10.7227/IJMEE.41.2.5
Publication status	Published - 1 Apr 2013
MoE publication type	A1 Journal article-refereed

Keywords

Galerkin method
selection problem
weighting function

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10.7227/IJMEE.41.2.5

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Weighting Function Selection Problem in the Galerkin Method

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Keywords

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