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High accuracy nonconforming finite elements for fourth-order problems - MaRDI portal

High accuracy nonconforming finite elements for fourth-order problems (Q1933998)

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scientific article; zbMATH DE number 6131122
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High accuracy nonconforming finite elements for fourth-order problems
scientific article; zbMATH DE number 6131122

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    High accuracy nonconforming finite elements for fourth-order problems (English)
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    28 January 2013
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    The paper presents a family of nonconforming finite elements for fourth-order problems for a simplicial triangulation with a high order convergence rate. The authors provide a unified way for the construction of the elements with respect to the dimension, with the aim of balancing the accuracy and the complexity of the finite element method for fourth-order problems. The method can be employed in arbitrary dimensions. Numerical examples are also presented.
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    fourth-order problem
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    nonconforming finite element
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    high accuracy
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    arbitrary dimension
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    convergence
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    numerical examples
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