Orthogonal piece-wise polynomials basis on an arbitrary triangular domain and its applications (Q2708328)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal piece-wise polynomials basis on an arbitrary triangular domain and its applications |
scientific article |
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15 November 2001
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eigenvalue problems
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orthogonal piece-wise polynomials
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triangular domain
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eigen-decomposition
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eigenfunctions
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Laplace operator
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numerical examples
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Orthogonal piece-wise polynomials basis on an arbitrary triangular domain and its applications (English)
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The author discusses an approximate method to calculate the eigenvalues and eigenfunctions of the Laplace operator with Dirichlet boundary condition in an arbitrary triangular domain. By using barycentric coordinates and Bernstein polynomials an orthogonal piece-wise polynomials basis on the triangle via approximating eigen-decomposition are constructed. Numerical examples are provided for illustration.
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