On a discrete compactness property for the Nedelec finite elements
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概要
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(Summary.) This paper shows that a kind of discrete compactness property holds for the simplest Nedelec finite elements in $\mathbb{R}^2$ and $\mathbb{R}^3$ under some assumptions on the considered domains. We first consider compactness properties for some function spaces appearing in electromagnetics as well as fiuid mechanics, and then show a discrete compactness property for the Nedelec finite element spaces under some divergence constraints. The present results are useful for discussing the validity of the Nedelec elements applied to numerical analysis of electromagnetic problems.
- Faculty of Science, The University of Tokyoの論文
Faculty of Science, The University of Tokyo | 論文
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