\(H^{1}\)-interpolation on quadrilateral and hexahedral meshes with hanging nodes (Q2460914)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(H^{1}\)-interpolation on quadrilateral and hexahedral meshes with hanging nodes |
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\(H^{1}\)-interpolation on quadrilateral and hexahedral meshes with hanging nodes (English)
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19 November 2007
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The authors investigate a Scott-Zhang type linear interpolation of \(H^1\)-functions by continuous piecewise multilinear polynomials in two and three dimensions, respectively. This includes approximations on hierarchically generated nets with hanging nodes. The authors prove optimal local convergence rates.
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finite element interpolation
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hanging nodes
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constrained approximation
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piecewise multilinear elements
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convergence
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