TY - JOUR
T1 - A new explicit time-domain finite-element method based on element-level decomposition
AU - Lou, Zheng
AU - Jin, Jian Ming
N1 - Funding Information:
Manuscript received February 27, 2006; revised June 6, 2006. This work was supported by a Grant from the Air Force Office of Scientific Research via the MURI Program under Contract FA9550-04-1-0326. The authors are with the Center for Computational Electromagnetics, Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2991 USA (e-mail: [email protected]). Color versions of Figs. 1–11 are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TAP.2006.882178
PY - 2006/10
Y1 - 2006/10
N2 - A new explicit time-domain finite-element method (TDFEM), which is fundamentally different from traditional explicit TDFEM formulations for solving Maxwell's equations, is introduced. This new explicit TDFEM is derived from a recently developed TDFEM domain-decomposition algorithm by extending domain decomposition to the element level. This method solves dual-field second-order wave equations and computes the electric and magnetic fields in a leapfrog fashion. With the element-level decomposition, no global system matrix has to be assembled and solved as required in the implicit TDFEM, and each element is related to its neighboring elements in an explicit manner. Hence, the computational complexity of the method is reduced to only O(N) for both computer memory and CPU time. A hybrid explicit/implicit scheme is also proposed to alleviate a major disadvantage of the proposed explicit TDFEM formulation. In addition, the convergence behavior of the corresponding higher order algorithms and the stability issues are discussed.
AB - A new explicit time-domain finite-element method (TDFEM), which is fundamentally different from traditional explicit TDFEM formulations for solving Maxwell's equations, is introduced. This new explicit TDFEM is derived from a recently developed TDFEM domain-decomposition algorithm by extending domain decomposition to the element level. This method solves dual-field second-order wave equations and computes the electric and magnetic fields in a leapfrog fashion. With the element-level decomposition, no global system matrix has to be assembled and solved as required in the implicit TDFEM, and each element is related to its neighboring elements in an explicit manner. Hence, the computational complexity of the method is reduced to only O(N) for both computer memory and CPU time. A hybrid explicit/implicit scheme is also proposed to alleviate a major disadvantage of the proposed explicit TDFEM formulation. In addition, the convergence behavior of the corresponding higher order algorithms and the stability issues are discussed.
KW - Domain decompositione
KW - Explicit methods
KW - Finite-element method
KW - Time-domain simulation
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U2 - 10.1109/TAP.2006.882178
DO - 10.1109/TAP.2006.882178
M3 - Article
AN - SCOPUS:33750109034
SN - 0018-926X
VL - 54
SP - 2990
EP - 2999
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 10
ER -