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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Raviart–Thomas basis functions ： ウィキペディア英語版 Raviart–Thomas basis functions In applied mathematics, Raviart–Thomas basis functions are vector basis functions used in finite element and boundary element methods. They are regularly used as basis functions when working in electromagnetics. They are sometimes called Rao-Wilton-Glisson basis functions. The space $\backslash mathrm\_q$ spanned by the Raviart–Thomas basis functions of order $q$ is the smallest polynomial space such that the divergence maps $\backslash mathrm\_q$ onto $\backslash mathrm\_q$, the space of piecewise polynomials of order $q$. ==Order 0 Raviart-Thomas Basis Functions in 2D== In two-dimensional space, the lowest order Raviart Thomas space, $\backslash mathrm\_0$, has degrees of freedom on the edges of the elements of the finite element mesh. The $n$th edge has an associated basis function defined by $\backslash mathbf\_n(\backslash mathbf)=\backslash left\backslash$ \frac(\mathbf-\mathbf_+)\quad&\mathrm\\ -\frac(\mathbf-\mathbf_-)\quad&\mathrm\\ \mathbf\quad&\mathrm \end\right. where $l\_n$ is the length of the edge, $T\_+$ and $T\_-$ are the two triangles adjacent to the edge, $A\_n^+$ and $A\_n^+$ are the areas of the triangles and $\backslash mathbf\_+$ and $\backslash mathbf\_-$ are the opposite corners of the triangles. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Raviart–Thomas basis functions」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.