Eigenstructure of the equilateral triangle. II: The Neumann problem
type: Item
instance of: scholarly article
title: Eigenstructure of the equilateral triangle. II: The Neumann problem
zbMATH Open document ID: 1122.35312
DOI: 10.1080/1024123021000053664
author: Brian J. McCartin
published in: Mathematical Problems in Engineering
publication date: 2004-06-14T00:00:00Z
full work available at URL: https://eudml.org/doc/53500
review text: Summary: 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. Part I, cf. SIAM Rev. 45, No. 2, 267--287 (2003; Zbl 1122.35311), Part III, see Int. J. Math. Math. Sci. 2004, No. 13--16, 807--825 (2004; Zbl 1123.35008).
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35P10
zbMATH DE Number: 2074134
MaRDI profile type: Publication
OpenAlex ID: W2068127950
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description: scientific article; zbMATH DE number 2074134