An energy-based discontinuous Galerkin method for semilinear wave equations
An energy-based discontinuous Galerkin method for semilinear wave equations
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DOI：
10.1016/j.jcp.2020.109608
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发表时间：
2020-01
期刊：
影响因子：
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通讯作者：
D. Appelö;T. Hagstrom;Qi Wang;Lu Zhang
中科院分区：
文献类型：
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作者：
D. Appelö;T. Hagstrom;Qi Wang;Lu Zhang
本文将文献[1]中提出的基于能量的间断Galerkin方法推广到二阶半线性波动方程。一个稳定性和收敛性分析沿着与数值实验证明最佳收敛的某些选择的元素间通量。正弦戈登方程的应用包括呼吸子，扭结和反扭结孤子的模拟。
We generalize the energy-based discontinuous Galerkin method proposed in [1] to second-order semilinear wave equations. A stability and convergence analysis is presented along with numerical experiments demonstrating optimal convergence for certain choices of the interelement fluxes. Applications to the sine-Gordon equation include simulations of breathers, kink, and anti-kink solitons.