2-D/3-D hybrid DGTD method with adaptive criterion controlling 2-D simplification error
The 2-D/3-D hybrid discontinuous Galerkin time domain (DGTD) method is efficient to deal with power-ground structures that contain elements capable of 2-D simplification. To generalize the capability of the 2-D/3-D DGTD method to deal with various complex structures in engineering design, a criterion is proposed to differentiate 2-D and 3-D elements adaptively. For domain decomposition criterion at time steptn, the electromagnetic field distribution at the previous time steptn-1is analyzed to identify the zeroth-order parallel-plates mode domain. Compared with the classical static distance criterion, this new adaptive criterion makes the approximation error under control, thus enhancing the stability. The 2-D simplification error and its controlling algorithm is studied to better explain why and how the approximation error controlled by adaptive updating criterion.
Wending Mai, Wenqu Hao, Chenguan Li, Ping Li, and Jun Hu