High Power Laser and Particle Beams, Volume. 36, Issue 7, 073004(2024)

B-spline discontinuous Galerkin method for Maxwell’s equations

Qinyi Hua1, Lin Li1, and Hongxin Qi2、*
Author Affiliations
  • 1State Key Laboratory of Precision Spectroscopy , East China Normal University, Shanghai 200241, China
  • 2School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
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    Figures & Tables(11)
    Distribution of points and interpolation nodes in cubic spline field of convex quadrilateral element
    Quadrilateral meshing of square resonator
    Eigen frequency of different modes
    Variation of relative error with mesh size
    Relative error of (4,1) mode with mesh size(4,1)模式下相对误差随网格尺寸的变化
    Square vacuum cavity: component of six resonant modes六种共振模式下分布
    Error comparison of numerical results with reference values at measuring point
    Comparison of numerical results and reference results of different monitor points
    Distribution of electromagnetic wave propagating to the right boundary of total field
    Comparison of mesh distribution
    • Table 1. Analytical and numerical results for resonant frequencies of different modes

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      Table 1. Analytical and numerical results for resonant frequencies of different modes

      modeanalytical/MHzB-DGTD/MHzerror (B-DGTD)/%COMSOL/MHzerror (COMSOL)/%
      (1,0)150.000150.0020.0013149.5400.3067
      (3,2)540.833540.8000.0061541.5980.1414
      (4,1)618.466618.4000.0107622.2690.6149
      (4,4)848.528848.3990.0152847.7940.0865
      (5,3)874.643874.4800.0186878.5050.4416
      (6,2)948.528948.8000.0287950.4510.2027
      (7,1)1060.6601060.9740.02961062.1140.1371
      (10,0)1500.0001500.4810.03211501.7710.1181
      (11,0)1650.0001650.5890.03571645.4620.2750
      (11,1)1656.8041657.5840.04711665.4510.5219
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    Qinyi Hua, Lin Li, Hongxin Qi. B-spline discontinuous Galerkin method for Maxwell’s equations[J]. High Power Laser and Particle Beams, 2024, 36(7): 073004

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    Paper Information

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    Received: Mar. 6, 2024

    Accepted: Apr. 7, 2024

    Published Online: Jun. 21, 2024

    The Author Email: Hongxin Qi (hxqi@phy.ecnu.edu.cn)

    DOI:10.11884/HPLPB202436.240076

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