Numerical algorithms for the FDiTD and FDFD simulation of slowly varying electromagnetic fields

✍ Scribed by M. Clemens; T. Weiland

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 417 KB
• Volume: 12
• Category: Article
• ISSN: 0894-3370
• DOI: 10.1002/(sici)1099-1204(199901/04)12:1/2<3::aid-jnm326>3.0.co;2-5

✦ Synopsis

The simulation of slowly varying electromagnetic "elds is possible for very large, realistic problems with "nite-di!erence implicit time-domain (FDiTD) and frequency-domain (FDFD) formulations on the basis of the consistent Finite-Integration Technique (FIT). Magneto-quasistatic time-domain formulations combined with implicit time marching schemes require the repeated solution of real-valued symmetric systems. The solution of driven frequency domain problems usually consists in the solution of one non-Hermitean system. Preconditioned conjugate gradient-type methods are well-suited for this task. They allow the e$cient solution even for consistent singular or near-singular systems, which typically arise from formulations for slowly varying electromagnetic "elds using the Maxwell-Grid-Equations of the FI-Method. Numerical results for TEAM workshop 11 benchmark problem and for a large practical problem, a shading ring sensor, show that the presented algorithms are capable of solving realistic problems for large numbers of unknowns in acceptable calculation times on contemporary medium sized workstations.