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Finite element solutions for an equilateral triangle

✍ Scribed by P. Daly

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
307 KB
Volume
8
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

In a two‐dimensional space of points on an equilateral triangle grid, a single difference equation holding at each node is found from the finite element formulation of the wave equation for all published polynomial orders of the functional expansion. Assuming homogeneous boundary conditions on any equilateral triangle whose edges and vertices pass through the grid points, the eigensolutions of the difference equation are found exactly and thus provide an excellent test problem for the programmer or engineer. The advantage of the present method over other formulations is that the number of linear operations required to produce the difference equation is minimal.

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