On the solution of 3-D frequency dependent Crank-Nicolson FDTD scheme

H. K. Rouf, F. Costen, S. G. Garcia, S. Fujino

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    Abstract

    Unconditional stability of the Crank-Nicolson Finite Difference Time Domain (CN-FDTD) method permits us to use time steps over the Courant-Friedrich-Lewy (CFL) limit of conventional FDTD method. However, in this work it was realized that, when the time step is set above CFL limit the coefficient matrix arising from Crank-Nicolson method is no longer diagonally dominant and iterative solvers require longer solution time in each FDTD iteration. Frequency dependent CN-FDTD (FD-CN-FDTD) scheme for Debye media is formulated and numerical tests are performed with two widely used sparse iterative solvers, Bi-Conjugate Gradient Stabilised (BiCGStab) and Generalised Minimal Residual (GMRES), for comparison. BiCGStab outperforms GMRES in every aspect of the study. © 2009 VSP.
    Original languageEnglish
    Pages (from-to)2163-2175
    Number of pages12
    JournalJournal of Electromagnetic Waves and Applications
    Volume23
    Issue number16
    DOIs
    Publication statusPublished - 1 Dec 2009

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