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Article

Práger, Milan
Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle for the discrete case. (English). Applications of Mathematics, vol. 46 (2001), issue 3, pp. 231-239
MSC: 35J05, 35P10, 35R10, 65N06, 65N25 | MR 1828307 | Zbl 1059.65101 | DOI: 10.1023/A:1013744008028
Keywords:
discrete Laplace operator; discrete boundary value problem; eigenvalues; eigenfunctions
Summary:
A discretized boundary value problem for the Laplace equation with the Dirichlet and Neumann boundary conditions on an equilateral triangle with a triangular mesh is transformed into a problem of the same type on a rectangle. Explicit formulae for all eigenvalues and all eigenfunctions are given.
References:
[1] M. Práger: Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle. Appl. Math. 43 (1998), 311–320. DOI 10.1023/A:1023269922178 | MR 1627985
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