Title :
An implicit LU/AF FDTD method
Author :
Beggs, J.H. ; Briley, W.R.
Author_Institution :
Electromagn. Res. Branch, NASA Langley Res. Center, Hampton, VA, USA
Abstract :
This paper has introduced an implicit LU/AF FDTD method for computational electromagnetics. A second-order accurate LU/AF characteristic based algorithm for electromagnetics has been implemented and tested on one-dimensional model problems for uniform and nonuniform grids. The one-dimensional model problem results show that accurate solutions for wave propagation can be obtained using Courant number greater than one and the method works well with lossy dielectric materials. The results demonstrate potential advantages in a one dimensional context, and this approach appears promising for development of stable, accurate and efficient implicit LU/AF schemes for complex two and three dimensional applications. Extensions to two and three dimensional applications have been outlined.
Keywords :
absorbing media; electromagnetic wave propagation; finite difference time-domain analysis; Courant number; FDTD method; computational electromagnetics; implicit LU/AF method; lossy dielectric materials; nonuniform grids; one-dimensional model problems; uniform grids; wave propagation; Algorithm design and analysis; Computational fluid dynamics; Difference equations; Finite difference methods; Gunn devices; Jacobian matrices; Maxwell equations; Postal services; Stability; Time domain analysis;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2001. IEEE
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-7070-8
DOI :
10.1109/APS.2001.958795