An Efficient 2-D WLP-FDTD Method Utilizing Vertex-Based Domain Decomposition Scheme

In this letter, an efficient vertex-based domain decomposition technique is introduced into the unconditionally stable finite-difference time-domain (FDTD) method based on weighted Laguerre polynomials (WLPs). In the two dimensional (2-D) transversal electric (TE) case, the vertex-based partitioning scheme is implemented and the magnetic field is updated implicitly. After the whole computational domain is decomposed into multiple subdomains with the vertex-based partitioning scheme, the large sparse matrix equation generated by the 2-D WLP-FDTD method is transformed into some independent small ones. A numerical example is presented to validate the accuracy and efficiency of the proposed method.