Systematic construction of two-dimensional higher-order vector finite element and its application to waveguide analysis

✍ Scribed by Mitsuo Hano; Akitoshi Koyama

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 218 KB
• Volume: 83
• Category: Article
• ISSN: 8756-663X
• DOI: 10.1002/(sici)1520-6432(200006)83:6<15::aid-ecjb3>3.0.co;2-8

✦ Synopsis

In electromagnetic field analysis, a systematic method of construction is presented for higher-order vector elements without respect to order. From the Helmholtz theorem, the vector basis functions are chosen. From the similarity with the scalar elements, the shape functions are determined by assigning the constraints of vector elements. The meaning of the position and direction of the vector indicated in the element is clarified. Further, the present method is applied to the analysis of the cutoff frequency of a hollow metallic waveguide. It is found that the more accurate solution even in the higher-order elements can be obtained with an identical number of unknowns.