A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D (Q839171)
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scientific article; zbMATH DE number 5600828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D |
scientific article; zbMATH DE number 5600828 |
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A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D (English)
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1 September 2009
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The authors consider linear second order elliptic equations posed on a rectangular parallelepiped in three dimensions. They deal with a nonconforming finite element method using a nonconforming rotated \(Q_1\) element. Several choices of the numerical integration which lead to optimal order in \(H^1\) and \(L^2\) as well as to superconvergence properties are provided. Numerical tests justifying theoretical results are presented.
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three dimensional second order elliptic equations
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superconvergence
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nonconforming rotated \(Q_1\) element
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numerical examples
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finite element method
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