并行矢量有限元法分析新型波导侧面馈电天线

摘要

采用并行矢量有限元区域分解法对一种新型波导侧面馈电天线进行有效的分析。计算中采用矢量棱边元消除传统节点有限元存在的伪解问题。当所分析的天线规模较大时，在普通单台计算机上采用传统有限元方法分析会面临着内存不足和效率不高的问题，引入一种非重叠型矢量有限元区域分解法有效地克服了这一问题。该方法将原始大型求解区域划分成一系列小的子区域单独求解，具有很高的可并行性，从而大大缓解了内存需求，提高了计算效率。通过对一种新型波导侧面馈电天线的分析，验证了这种方法的精确性和有效性。%A parallel vector finite element domain decomposition method is employed to analyze a new-style antenna with waveguide side feed. In this method, edge-based vector elements are employed to avoid the spurious solutions in traditional method of node-based elements. However, on single personal computer, the finite element solution of large-scale problems faces the problems of low operating efficiency and insufficient physical memory. A non-overlapping domain decomposition method is introduced to overcome these problems. The original large domain is divided into a series of small sub-domains, which can be analyzed independently. Hence, this method can easily be parallel implemented to improve efficiency and relieve memory requirement. Numerical experiments of new-style antenna with waveguide side feed demonstrate the accuracy and efficiency of this method.