论文标题
半线性波方程的基于能量的不连续的Galerkin方法
An energy-based discontinuous Galerkin method for semilinear wave equations
论文作者
论文摘要
我们概括了[Siam J. Num。肛门，53（6）：2705-2726，2015。]到二阶半连续波方程。对稳定性和收敛分析以及数值实验进行了介绍，该实验证明了元素间通量某些选择的最佳收敛性。对正弦方程的应用包括呼吸器，扭结和反扭结孤子的模拟。
We generalize the energy-based discontinuous Galerkin method proposed in [SIAM J. Num. Anal., 53(6):2705-2726, 2015.] 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.
