Acta Physica Sinica, Volume. 69, Issue 2, 020202-1(2020)

Two-dimensional wave equation solved by generalized alternating flux based local discontinuous Galerkin method

Rong-Pei Zhang1, Di Wang1, Xi-Jun Yu2, and Xue-Bing Wen1、*
Author Affiliations
  • 1College of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China
  • 2Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
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    Figures & Tables(4)
    (a) The triangulation mesh of Example 2; contour plot of solution at different time: (b) ; (c) ; (d) .(a)算例2的网格剖分和数值解在不同时刻(b) , (c) , (d) 时的波传播
    Energy evolution with time for Example 2.算例2的能量随时间的演化
    (a) The triangulation mesh of Example 3; contour plot of solution at different time: (b) ; (c) ; (d) .(a)算例3的网格剖分和数值解在不同时刻 (b) , (c) , (d) 时的波传播
    • Table 1. Error and convergence order of numerical solution and p. 数值解 和p的误差和收敛阶数

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      Table 1. Error and convergence order of numerical solution and p. 数值解 和p的误差和收敛阶数

      网格数w的误差 p的误差
      ${L^2}$范数下误差 收敛阶${L^2}$范数下误差 收敛阶
      $8 \times 8$2.80 × 10–26.63× 10–2
      $16 \times 16$5.75 × 10–32.283.40× 10–20.96
      $32 \times 32$1.64 × 10–31.811.70× 10–21.00
      $64 \times 64$4.62 × 10–41.838.56× 10–30.99
      $128 \times 128$9.20 × 10–52.324.30 × 10–30.99
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    Rong-Pei Zhang, Di Wang, Xi-Jun Yu, Xue-Bing Wen. Two-dimensional wave equation solved by generalized alternating flux based local discontinuous Galerkin method[J]. Acta Physica Sinica, 2020, 69(2): 020202-1

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    Paper Information

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    Received: Apr. 24, 2019

    Accepted: --

    Published Online: Nov. 9, 2020

    The Author Email:

    DOI:10.7498/aps.69.20190613

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