On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces (Q2436544)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces |
scientific article |
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On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces (English)
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25 February 2014
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The authors study the stability in the \(H^1\)-seminorm of the \(L_2\)-projection onto finite element spaces in the case of nonuniform but shape regular meshes in two and three dimensions and prove, in particular, stability for conforming triangular elements up to order twelve and conforming tetrahedral elements up to order seven.
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finite element space
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stability
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shape regular mesh
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conforming triangular element
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