Implicit three-dimensional finite differencing of Maxwell's equations

Journal Article · Sat Dec 01 04:00:00 EST 1984 · IEEE Trans. Nucl. Sci.; (United States)

DOI:https://doi.org/10.1109/TNS.1984.4333504· OSTI ID:5910148

Holland, R

An alternating implicit differencing scheme (AIDS) is described for advancing the time-domain form of Maxwell's curl equations. This scheme is a perturbation of the Crank-Nicolson method, and thus should have no stability limitation on ..delta..t. Test problems have been run with ..delta..t incremented by factors of 10 up to 10/sup 6/ x the Courant-limit. In no case was any instability observed, although most runs yielded erroneous solutions if ..delta..t was more than 10/sup 3/ x the Courant limit.

• Research Organization: Electro Magnetic Applications, Inc., 1025 Hermosa Drive SE (87108), Post Office Box 8482, Albuquerque, New Mexico 87198
• OSTI ID: 5910148
• Journal Information: IEEE Trans. Nucl. Sci.; (United States), Journal Name: IEEE Trans. Nucl. Sci.; (United States) Vol. NS-31:6; ISSN IETNA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420800* -- Engineering-- Electronic Circuits & Devices-- (-1989)
COMPUTER CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
INSTABILITY
ITERATIVE METHODS
MAXWELL EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE