An Iterative CN-Leapfrog Scheme Based Hybrid Implicit–Explicit Discontinuous Galerkin Finite-Element Time-Domain Method for Analysis of Multiscale Problems

Authors

  • M. Li 1 School of Electronic Science and Engineering Nanjing University of Posts and Telecommunications, Nanjing, 210003, China 2 Department of Electronic Information Engineering Suqian College, Suqian, 223800, China
  • X. D. Ye Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China
  • F. Xu 1 School of Electronic Science and Engineering Nanjing University of Posts and Telecommunications, Nanjing, 210003, China 2 Department of Electronic Information Engineering Suqian College, Suqian, 223800, China
  • Y. T. Yang Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China

Keywords:

Crank-Nicolson, discontinuous Galerkin finite-element time-domain method, multi-scale

Abstract

The discontinuous Galerkin finite-element time-domain (DG-FETD) method with the ability to deal with unstructured meshes is well suited to analyze the multiscale system. However the DG-FETD method with explicit integration schemes is constrained by stability conditions that can be very restrictive upon highly fine meshes. The hybrid implicit–explicit Crank- Nicolson (CN) leapfrog scheme is effective in solving this problem; but because of using CN scheme, the inversion of a large sparse matrix must be calculated at each time step in the fine regions. The hybrid implicit– explicit iterative CN leapfrog scheme is introduced to improve the computational efficiency which can form a block diagonal matrix. The leapfrog scheme is employed for electrically coarse regions and iterative CN scheme for electrically fine ones. The numerical examples have demonstrated the validity and efficiency of the method.

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References

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Published

2021-07-25

How to Cite

[1]
M. Li, X. D. Ye, F. Xu, and Y. T. Yang, “An Iterative CN-Leapfrog Scheme Based Hybrid Implicit–Explicit Discontinuous Galerkin Finite-Element Time-Domain Method for Analysis of Multiscale Problems”, ACES Journal, vol. 33, no. 06, pp. 597–602, Jul. 2021.

Issue

2018: Vol 33 Iss 6

Section

Articles