Title :
A high-accuracy realization of the Yee algorithm using non-standard finite differences
Author_Institution :
Inst. for Inf. Sci. & Electron., Tsukuba Univ., Japan
fDate :
6/1/1997 12:00:00 AM
Abstract :
New nonstandard second-order finite differences (FD´s) are introduced, which when substituted into the Yee algorithm, reduce the solution error by a factor of 10-4 on a coarse computational grid. Using λ/h (grid spacings per wavelength)=8, one achieves the same accuracy as the standard Yee algorithm does at λ/h=1140. In addition, greater algorithmic stability allows a reduction in the number of iterations needed to solve a problem
Keywords :
Maxwell equations; finite difference time-domain analysis; numerical stability; Maxwell equations; Yee algorithm; computational grid; iteration; nonstandard second-order finite differences; solution error; stability; Animation; Computational efficiency; Data visualization; Finite difference methods; Grid computing; Helium; Laplace equations; Maxwell equations; Stability; Time domain analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
