Eigenstructure of the equilateral triangle, Part II: The Neumann problem

Lame's formulas for the eigenvalues and eigenfunctions of the Laplacian with Neumann boundary conditions on an equilateral triangle are derived using direct elementary mathematical techniques. They are shown to form a complete orthonormal system. Various properties of the spectrum and nodal lin...

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Bibliographic Details
Main Author: Brian J. McCartin
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Mathematical Problems in Engineering
Subjects:
Online Access:http://dx.doi.org/10.1080/1024123021000053664