NDLI: Efficient Noniterative Implicit Time-Stepping Scheme Based on E and B Fields for Sequential DG-FETD Systems

Content Provider	IEEE Xplore Digital Library
Author	Qingtao Sun Tobon, L.E. Qiang Ren Yunyun Hu Qing Huo Liu
Copyright Year	2011
Abstract	The discontinuous Galerkin finite-element time-domain (DG-FETD) method with implicit time integration has an advantage in modeling electrically fine-scale electromagnetic problems. Based on domain decomposition methods, it avoids the direct inversion of a large system matrix as in the conventional FETD method; by employing implicit time integration, it obviates an extremely small time-step interval to maintain stability as in explicit schemes. Based on curl-conforming basis functions for the electric field intensity E field and divergence-conforming basis functions for the magnetic flux density B field, a new noniterative implicit time-stepping scheme is proposed to efficiently solve sequentially ordered systems for electrically fine-scale problems. Compared with the previous EH-based scheme, the new scheme introduces fewer unknowns and, thereby, results in a smaller matrix system. Based on the Crank-Nicholson algorithm for time integration, the matrix system is in a block tridiagonal form. Then, through separating the surface unknowns from the volume unknowns, a block lower-diagonal-upper (LDU) decomposition is implemented, reducing the computational complexity of the original system. The adaptivity of parallel computing in subdomain level during preprocessing further helps shorten the computation time. Numerical results confirm that the proposed LDU scheme presents improved efficiency in terms of memory and CPU time while retaining the same accuracy, compared with the previous implicit block-Thomas method. With respect to the explicit Runge-Kutta method and the standard FDTD, it also shows an advantage in CPU time. The proposed scheme will help improve the performance of DG-FETD in modeling electrically fine-scale problems.
Starting Page	1839
Ending Page	1849
Page Count	11
File Size	3183920
File Format	PDF
ISSN	21563950
Volume Number	5
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Matrix decomposition Linear systems Time-domain analysis Method of moments Numerical models Parallel processing sequential order. Basis functions curl-conforming elements discontinuous Galerkin finite-element time domain (DG-FETD) divergence-conforming elements electrically fine-scale problems implicit time stepping lower-diagonal-upper (LDU) decomposition sequential order
Content Type	Text
Resource Type	Article
Subject	Industrial and Manufacturing Engineering Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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