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Research on Absorbing Boundary Condition for TDFEM and Their applications in 2-D Electromagnetic Analysis

Author: SunChengXiang
Tutor: LiuShaoBinï¼›HeXiaoXiang
School: Nanjing University of Aeronautics and Astronautics
Course: Electromagnetic Field and Microwave Technology
Keywords: time-domain finite-element method (TDFEM) perfectly matched layer (PML) Mur absorbing boundary electromagnetic (EM) two-dimensional (2-D)
CLC: O441.4
Type: Master's thesis
Year: 2009
Downloads: 40
Quote: 3
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Abstract


In this thesis, the time-domain finite-element method (TDFEM) is introduced and verified with 2-D oscillator analysis firstly. For a time-varying field, the magnetic filed intensity H is used as a variable, and the equivalent functional about H is derived, then a suitable interpolation with basis functions and the Newmark difference method are employed for spatial domain and time domain discretization respectively, finally the conjugate gradient method (CGM) is used to solve the resulting linear equation, and electromagnetic distribution can be achieve consequently. The simulated results compared with analytical solutions presented in the paper show that the accuracy of TDFEM is validated with error about 1%.And then, the perfectly matched layer (PML) in TDFEM is studied in detail for 2-D open-area electromagnetic analysis in this dissertation. Algorithms of the PML construction in TDFEM are presented in detail with invert Fourier transformation method. 2-D electromagnetic response driven by a point magnetic current is analyzed with TDFEM and PML, and the correctness and precision of the presented PML are verified consequently. Then, the parameters in PML are investgated, which affect the absorbing performance and iterative efficiency of CGM dramatically. Numerical results presented will be benefit to the future analysis on the open-area electromagnetic problems with TDFEM and PML.The first order Mur absorbing boundary condition in TDFEM is also studied for 2-D electromagnetic analysis. Numerical results presented in the paper show that the Mur absorbing boundary condition can be applied to most of the EM analysis. Furthermore, the Mur absorbing boundary condition has a little affect on the condition of generating coefficient matrix and the convergent rate of CGM is greatly improved under the same precision comparied to the TDFEM with PML.Finally, the combination of PML with Mur in TDFEM is studied, in which Mur absorbing boundary condition is used to truncate PML, so that TDFEM with PML/Mur can be more accurate comparied to TDFEM with Mur and can be more efficient comparied to TDFEM with PML. Numerical results given at the end of the dissertation verifies the conculsions listed above.

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CLC: > Mathematical sciences and chemical > Physics > Electromagnetics,electrodynamics > Electricity and Magnetism > Electromagnetic waves and electromagnetic fields
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