Pre-iterative ADI-FDTD method for conductive medium

• Published in: IEEE transactions on microwave theory and techniques Vol. 53; no. 6; pp. 1913 - 1918
• Main Authors: Shumin Wang, Shumin Wang, Ji Chen, Ji Chen
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Accuracy; Alternating-direction implicit finite-difference time-domain (ADI-FDTD) method; Applied classical electromagnetism; Computation; Computational efficiency; Computational modeling; conductive medium; Dispersion; Electromagnetic analysis; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite difference method; Finite difference methods; Fundamental areas of phenomenology (including applications); iterative method; Iterative methods; Mathematical analysis; Mathematical models; Microwaves; Physics; Relaxation methods; Solvers; Sparse matrices; splitting error; Time domain analysis; Alternating direction method; conductive medium; Finite difference time-domain analysis; Lossy medium; splitting error; Electromagnetic fields; Iterative methods; Alternating-direction implicit finite-difference time-domain (ADI-FDTD) method; iterative method; Conducting medium
• ISSN: 0018-9480; 1557-9670
• DOI: 10.1109/TMTT.2005.848086

An efficient accuracy-improvement scheme is proposed to analyze electromagnetic problems with conductive medium. This scheme is based on interpreting the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method as a special iterative solver for the Crank-Nicholson scheme. By applying an additional number of iterations to locations with relatively large field variation, the overall accuracy can be improved with little computational overhead. Special treatment of lossy medium in the ADI-FDTD method is also addressed. Finally, numerical examples demonstrate the effectiveness of the proposed method.