论文标题
求解轴对称时间谐波电磁波问题的不同配方之间的比较
A Comparison Between Different Formulations for Solving Axisymmetric Time-Harmonic Electromagnetic Wave Problems
论文作者
论文摘要
在许多时间谐波的电磁波问题中，所考虑的几何形状表现出轴向对称性。在这种情况下，通过利用沿方位角方向的傅立叶扩展，可以在问题的二维（2D）角横截面上进行完全三维（3D）的计算，从而大大降低了计算工作。但是，从完整的3D问题到2D分析的过渡引入了其他困难，例如变化公式的奇异性。在这项工作中，我们比较并讨论了处理这些障碍的不同有限元配方。使用高阶元素时，特别注意虚假模式和收敛行为。
In many time-harmonic electromagnetic wave problems, the considered geometry exhibits an axial symmetry. In this case, by exploiting a Fourier expansion along the azimuthal direction, fully three-dimensional (3D) calculations can be carried out on a two-dimensional (2D) angular cross section of the problem, thus significantly reducing the computational effort. However, the transition from a full 3D problem to a 2D analysis introduces additional difficulties such as, among others, a singularity in the variational formulation. In this work, we compare and discuss different finite element formulations to deal with these obstacles. Particular attention is paid to spurious modes and to the convergence behavior when using high-order elements.
