Analysis of Stability, Efficiency and Accuracy in the Solution of Matrix Systems in Electromagnetic Cavity Using the FDTD-ADI/LOD Method.

摘要

The finite difference time domain method (FDTD) is widely used in solutions of electromagnetic problems, but has as a condition of stability, the Courant-Friedrich-Levy (CFL), that limits the step time to be used. The method has a high computational processing time and memory usage in threedimensional analysis for electromagnetic cavities due to the high number of resonance frequencies to be simulated, which makes the analysis complicated and time-consuming. This work presents the stability and efficiency analysis of numerical methods involving electromagnetic cavities using alternating implicit direction (FDTD-ADI) and local one-dimensional (FDTD-LOD) that do not restrict the CFL condition. The electric field values of the FDTD-ADI/LOD methods are obtained through the matrix solution, the numerical method used to solve this system is very important because it affects the stability, precision and efficiency of the results. The numerical methods used in this work will be Thomas, Cholesky and Gauss Seidel.