Systematic Construction and Performance Comparison for Higher Order Hierarchical Tetrahedral Vector Elements
Nedelecs functional spaces of H1(curl) hierarchical tetrahedral vector elements are analyzed systematically by using the method combined Nedelec constraints and complete polynomials. The relations between various vector elements and the functional spaces are validated. The results of a numerical experiment that investigates the resonant problem of a rectangular cavity, compare the performance of different hierarchical vector elements systematically (such as calculated accuracy, condition numbers, selectivity of the facet related basis functions), which are also applied to the eigen-solution of inhomogeneously-filled cavities. The methods can be extended to the analysis of ultra higher order vector elements with any type effectively.
YIN Wen-lu DONG Jian CHEN Lin YE Liang-feng QI Hui-Ying MAO Jun-jie
College of Electronics Science and Engineering, National University of Defense Technology, Changsha Southwest Electronics and Telecommunication Technology Research Institute, Chengdu, 610041, China
国际会议
上海
英文
1-4
2010-10-20（万方平台首次上网日期，不代表论文的发表时间）