2-D Time Domain Finite Element Method For Electromagnetic Analysis

A 2-D time-domain finite-element method (TDFEM) is applied for electromagnetic analysis of a waveguide firstly. Simulation solutions are compared with the analytical results with an error about 1%, so the 2-D TDFEM is validated. Based above, some aspects of 2-D TDFEM are discussed: (1) the convergences of TDFEM with different temporal discretization schemes are investigated, including forward difference, central difference, backward difference and Newmark difference. Numerical results show that the convergent rate of Newmark scheme is about 9 times faster than that of the central scheme in iteration; (2) the mesh discretization of TDFEM is also involved, for the application of Newmark algorithm, TDFEM can be employed to analyze electrically large object with little memory consumption; (3) the disadvantage of backward difference scheme in resolving the two order constant differential equation is presented; (4) the effect of error control parameter tol in conjugate gradients method (CGM) is studied for equation solution in every time stepsof TDFEM; (5) we have also investigated the setting of parameter β in Newmarkdifference. At last, the perfectly matched layer (PML) is applied in 2-D TDFEM, and three aspects of PML are investigated with: (1) different mesh discretization density; (2) different position of the excitation source; (3) different settings of PML. All the researches presented here provide a powerful numerical approach for wideband electromagnetic analysis of complex objects.