Eigenvalues and Eigenfunctions of the Laplace Operator on an Equilateral Triangle for the Discrete Case |
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| Authors: | Milan Prager |
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| Institution: | (1) Mathematical Institute, Academy of Sciences, Zitna 25, 115 67 Praha 1, Czech Republic |
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| Abstract: | 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. |
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| Keywords: | discrete Laplace operator discrete boundary value problem eigenvalues eigenfunctions |
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