A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form
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DOI：
10.1137/140973517
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发表时间：
2015-12
期刊：
影响因子：
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通讯作者：
D. Appelö;T. Hagstrom
中科院分区：
文献类型：
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作者：
D. Appelö;T. Hagstrom
我们开发和分析了一种新的战略空间间断Galerkin离散的波动方程的二阶形式。该方法的特点是一个直接的，网格独立的方法来定义元素间通量。节能和迎风离散化都可以设计出来。我们推导出先验误差估计的能量范数的某些通量和目前的数值实验表明，最佳收敛在L^2 $。
We develop and analyze a new strategy for the spatial discontinuous Galerkin discretization of wave equations in second-order form. The method features a direct, mesh-independent approach to defining interelement fluxes. Both energy-conserving and upwind discretizations can be devised. We derive a priori error estimates in the energy norm for certain fluxes and present numerical experiments showing that optimal convergence in $L^2$ is obtained.