A Combined ADI and SBTD Scheme for Unconditionally Stable Time-Domain Solutions of Maxwell's Equations

In this paper, a new unconditionally stable scheme is presented based on the SBTD (sampling bi-orthogonal time-domain) algorithm. In theory the SBTD has no spatial discretization errors owing to the sampling (interpolation) property and compact support of the Daubechies wavelets, which lead to higher precisions than the regular ADI scheme. Stability investigation and numerical examples of a 2D resonator are conducted to demonstrate the advantages of the new approach in terms of the CPU time and numerical accuracy