Galerkin Time-Domain Finite Element Electromagnetic Scattering Analysis Based On Internal Penalty Discontinuous Galerkin

Discontinuity Galerkin finite element time domain Method on Maxwell's Equation algorithm has become a very representative electromagnetic algorithm in transient electromagnetic analysis because of its unstructured discrete mode,free selection of basis function type or order,easy to realize high order accuracy and high parallelism calculation.Compared with solving the wave equation,it is often necessary to solve the unknown electric field and magnetic field at the same time by using DGTD-ME.However,it leads to higher calculation cost and lower solution efficiency.In this paper,the IPDG-WE based on the wave equation is adopted.This method only needs to solve a specific unknown quantity of interest,which can improve the memory utilization and save the calculation time.At the same time,IPDG-WE algorithm also inherits the advantages of DGTD-ME algorithm perfectly,and for the selection of numerical flux,this paper selects a more superior internal penalty numerical flux,which not only has the energy conservation property of central flux,but also maintains the optimal convergence rate of upwind flux.For the difficulty of modeling IPDG-WE algorithm on perfectly matched layer this paper innovatively proposes the application of perfectly matched layer in IPDG-WE algorithm,which further improves the application performance of the algorithm.In order to improve the efficiency of solving electromagnetic scattering problem,IPDG-WE algorithm is applied to the analysis of this problem,which solves the problem of high computational cost and low efficiency caused by traditional DGTD-ME in this problem analysis.At the same time,the implementation process of the algorithm is parallelized,which improves the efficiency of calculating electromagnetic scattering problem.Finally,in view of the more complex dispersive medium encountered in the actual electromagnetic scattering engineering problems,combined with the auxiliary differential equation,the IPDG-WE algorithm for solving dispersive medium is realized,avoids the memory consumption caused by solving the time domain convolution in the analysis of dispersive medium,and not only accurately analyzes the electromagnetic scattering characteristics of complex dispersive medium.Compared with the traditional DGTD-ME method,the calculation cost is reduced and the efficiency of solving the electromagnetic scattering problem of dispersive medium is improved.