Error analysis of spectral method on a triangle (Q877784)
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scientific article; zbMATH DE number 5148948
| Language | Label | Description | Also known as |
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| English | Error analysis of spectral method on a triangle |
scientific article; zbMATH DE number 5148948 |
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Error analysis of spectral method on a triangle (English)
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3 May 2007
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The orthogonal polynomial approximation on a triangle, proposed by \textit{M. Dubiner} [J. Sci. Comput. 6, No.~4, 345--390 (1991; Zbl 0742.76059)], is studied. Some approximation results are established in certain non-uniformly Jacobi-weigthed Sobolev spaces, which are important for spectral element methods on triangles. As an exmple, a model problem is considered.
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spectral method
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triangle
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convergence
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numerical example
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Poisson equation
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error bounds
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spectral element methods
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