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Convergence properties of two nonconforming finite elements - MaRDI portal

Convergence properties of two nonconforming finite elements (Q796276)

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scientific article; zbMATH DE number 3864438
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Convergence properties of two nonconforming finite elements
scientific article; zbMATH DE number 3864438

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    Convergence properties of two nonconforming finite elements (English)
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    1985
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    Two nonconforming triangular elements for second-order problems are analyzed. One element is found to be convergent. The other does not yield approximate solutions converging to the solution of the given boundary value problem, but to a wrong limit, which is the solution of another variational equation. This strange convergence behaviour may be typical for a wider class of nonconforming elements violating the basic precondition for convergence. The problem of patch subdivisions is also considered.
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    nonconforming triangular elements
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    convergence
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    patch subdivisions
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