Approximation power of polynomial splines on \(T\)-meshes (Q714492)
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scientific article; zbMATH DE number 6092735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation power of polynomial splines on \(T\)-meshes |
scientific article; zbMATH DE number 6092735 |
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Approximation power of polynomial splines on \(T\)-meshes (English)
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11 October 2012
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Using Bernstein-Bézier approaches, the stability and the approximation properties of bivariate polynomial splines on \(T\)-meshes are studied. The article begins with an introduction into \(T\)-meshes and the definition of polynomial splines on these. With a Bernstein-Bézier representation, stability estimates for Chebyshev and \(q\)-norms are proved for the splines. Moreover, the support sizes of the bases are bounded and approximation orders in \(q\)-norms are derived.
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\(T\)-meshes
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\(T\)-nodes
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hanging vertices
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approximation power
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polynomial splines
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Bernstein-Bézier representation
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stability estimates
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Chebyshev and \(q\)-norms
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