High-Order Triangular Finite Elements for Electromagnetic Waves in Anisotropic Media
High-Order Triangular Finite Elements for Electromagnetic Waves in Anisotropic Media
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各向异性介质中电磁波的高阶三角形有限元
DOI：
10.1109/tmtt.1977.1129103
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发表时间：
1977
影响因子：
4.3
通讯作者：
A. Konrad
中科院分区：
文献类型：
--
作者：
A. Konrad
专门的功能，介绍了在平面和轴对称的二维几何形状的传播和循环电磁波，而不求助于复杂的算法。通过场分量的变换消除了轴对称几何形状的泛函中的奇异性。变换后的场在x-y和r-z坐标平面上的三角形区域上用高阶插值多项式近似。一个矩阵表达式组装从常数元素矩阵和几何因素有关的三角形的形状，大小和位置得到的离散化等效的原始功能。所需的元素矩阵已计算到六阶多项式近似。阐述了组合全局问题的步骤。最后，通过最小化离散化泛函生成矩阵方程。
Specialized functional are introduced for traveling and circulating electromagnetic waves in planar and axisymmetric two-dimensional geometries, without recourse to complex arithmetic. The singularities in the functional for axisymmetric geometries are eliminated by a transformation of the field components. The transformed fields are approximated by high-order interpolation polynomials over triangular regions in the x-y and r-z coordinate planes. A matrix expression assembled from constant element matrices and geometric factors relating to triangle shape, size, and position is obtained which is the discretized equivalent of the original functional. The necessary element matrices have been computed to sixth-order polynomial approximation. The procedure for assembling a global problem is stated. Finally, a matrix equation is generated by minimizing the discretized functional.