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Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems - MaRDI portal

Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems (Q368082)

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scientific article; zbMATH DE number 6209007
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Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems
scientific article; zbMATH DE number 6209007

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    Anisotropic nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation to second-order elliptic problems (English)
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    18 September 2013
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    The authors consider second-order elliptic problems and study the nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation on anisotropic meshes. The optimal order error estimates in a broken energy norm and in the \(L^2\)-norm are obtained, and three numerical experiments are carried out to confirm the theoretical results.
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    optimal order error estimates
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    second-order elliptic problems
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    nonconforming \(EQ_1^{rot}\) quadrilateral finite element approximation
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    anisotropic meshes
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    numerical experiments
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