Maxwell eigenvalues and discrete compactness in two dimensions (Q1586256)
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scientific article; zbMATH DE number 1528528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maxwell eigenvalues and discrete compactness in two dimensions |
scientific article; zbMATH DE number 1528528 |
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Maxwell eigenvalues and discrete compactness in two dimensions (English)
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13 November 2000
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The discete compactness results for a general class of \(hp\) finite elements is proved (the \(hp\) finite elements were introducted previously by \textit{L. Demkowicz} et al. [Meth. Appl. Mech. Engin. 152, 103-124 (1998; Zbl 0994.78011)]). The \(h\)-convergence of 2D elements is discussed only. The proof is based on the extension of Kikuchi's discrete compactness argument to edge elements of arbitrary order. The use of the inverse inequality is avoided.
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\(hp\)-finite elements
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0.89413774
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0.88103986
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0.8806549
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0.8681054
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0.8662676
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0.8641887
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0.8619556
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