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

Brian J. McCartin

Mathematical Problems in Engineering, 2002, vol. 8, 1-23

Abstract:

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 lines are explored. Implications for related geometries are considered.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:591873

DOI: 10.1080/1024123021000053664

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