The Finite Element Method In Electromagnetics Applied Research

The primary intention of this thesis is to establish a workbench of the tangentially continuous vector finite element method (TVFEM), which can be used to analyze complex electromagnetic boundary-value problems. Some efficient ways are also adopted to reduce the total time cost of FEM analysis.This thesis firstly describes methodology of establishing FEM workbench. Some discussions are devoted to Galerkin's variation principles on how to formulate most electromagnetic problems. The perfectly matched layer (PML) concept has been also applied to FEM. In addition, how to extract meshing information from ANSYS and to calculate S-parameters are discussed. Finally, some numerical examples are presented to validate the workbench.For the finite element method, solution of the linear system is the main expense of the whole problem solution, which consume over 95% of the CPU time for FEM analysis in electromagnetics. TVFEM based on coupled vector potential A and scalar potential V (A-V) is combined with standard modified incomplete Cholesky conjugate-gradient (MICCG) in this paper for the broadband analysis of some microwave apparatus. The presented approach can achieve convergence averagely one hundred times less in iterative steps than the approach applying E field TVFEM and CG.