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A Polynomial Approach for the Construction of Hierarchic H(curl)-Conforming Finite Elements on Hybrid Meshes

机译:混合网格上构造分层H(curl)协调有限元的多项式方法

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In simulation softwares, the finite element analysis of large three-dimensional applications is often performed on hybrid meshes involving tetrahedral, hexahedral, prismatic and pyramidal elements. In the particular context of the computation of electromagnetic fields, vector finite elements are designed to be conforming in the Sobolev space H(curl). In this paper, we propose a simple methodology for the construction of such finite elements using polynomial spaces and rational functions. Numerical results are provided from FLUX software.
机译:在仿真软件中,大型三维应用程序的有限元分析通常是在涉及四面体,六面体,棱柱形和金字塔形单元的混合网格上执行的。在电磁场计算的特定上下文中,矢量有限元被设计为在Sobolev空间H(curl)中是一致的。在本文中,我们提出了一种使用多项式空间和有理函数构造此类有限元的简单方法。数值结果由FLUX软件提供。

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