Title :
The transfinite-element time-domain method
Author :
Sun, Din-Kow ; Lee, Jin-Fa ; Cendes, Zoltan
Author_Institution :
Ansoft Corp., Pittsburgh, PA, USA
Abstract :
This paper presents an efficient time-domain method for computing the propagation of electromagnetic waves in microwave structures. The procedure uses high-order vector bases to achieve high-order accuracy in space, Newmark´s method to provide unconditional stability in time, and the transfinite-element method to truncate the waveguide ports. The resulting system matrix is real, symmetric, positive-definite, and can be solved by using the highly efficient multilevel preconditioned conjugate gradient algorithm. Since the method allows large time steps and nonuniform grids, the computational complexity for problems with irregular geometries is superior to that of the finite-difference time-domain method.
Keywords :
Maxwell equations; S-matrix theory; coaxial waveguides; conjugate gradient methods; electromagnetic wave propagation; finite element analysis; matrix algebra; microstrip filters; rectangular waveguides; time-domain analysis; vectors; waveguide theory; Newmark method; coaxial waveguide; computational complexity; electromagnetic wave propagation; high-order accuracy; high-order vector bases; late-time instability; microstrip low-pass filter; microwave structures; multilevel preconditioned conjugate gradient algorithm; real symmetric positive-definite matrix; rectangular waveguide; scattering matrix; time-domain Maxwell equations; transfinite-element time-domain method; unconditional stability; vector finite-element method; waveguide port truncation; Computational complexity; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Microwave propagation; Microwave theory and techniques; Stability; Symmetric matrices; Time domain analysis; Transmission line matrix methods;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2003.817457
