高阶矢量基函数在腔体本征值问题中的应用

The Application of Higher-Order Hierarchical Basis Functions to Solve the Eigenvalue Problems of Resonant Cavities

基于四面体有限单元,采用高阶叠层矢量基函数分析腔体本征值问题,通过若干数值算例验证了在相同计算精度指标下,采用高阶基可以使用尺寸更大的网格,降低未知量个数,提高计算效率;并且通过加密网格,高阶基能够更快地收敛到真解。

In this paper we analyze the eigenvalue problems of resonant cavities using higher-order hierarchical vector basis functions based on tetrahedral finite elements.The numerical results of several examples show that using the higher-order basis functions can reduce unknowns by larger discretization size to obtain the same accuracy with the lower-order basis functions,and the numerical solution can approach the analytical solution more quickly with mesh refinement.