A Succinct Explicit Local Time-Stepping Method for Helmholtz Wave Equation Based Discontinuous Galerkin Time Domain Method for 3-D Multiscale Electromagnetic Modeling

摘要

A succinct explicit local time-stepping (LTS) method for Helmholtz wave equation based discontinue Galerkin time domain method has been developed to analyze 3-D multiscale electromagnetic problems. In the proposed LTS scheme, a simple linear interpolation procedure is implemented to calculate the fields in the subdomain with the larger mesh size at the time steps corresponding to its neighboring subdomains with the smaller mesh size, and thus the proposed method can be easily generalized to the situation of the multiple subdomains with arbitrary time step ratio. With the proposed LTS method, the computational efficiency can be improved for the analysis of the multiscale problems. Several numerical examples including dielectric loaded resonance cavity, microstrip filter, and Vivaldi antenna are given to illustrate good performance of the proposed succinct explicit LTS method.