论文标题
二阶波动方程的不合格接口条件
Non-conforming interface conditions for the second-order wave equation
论文作者
论文摘要
考虑使用不合格网格的二阶波动方程的界面条件的强加方法。空间离散化基于与逐个部分属性的高阶有限差异。基于同时近似项（SAT）方法，先前提出的有关此问题的解决方案方法已显示出显着的刚度。这可能导致高效的方案。在这里，提出了两种施加界面条件以避免刚度问题的新方法：1）投影方法和2）投影方法和SAT方法之间的混合体。数值实验是使用传统和保留订单的插值操作员进行的。两种新型方法都保留了先前开发的SAT方法的准确性和收敛行为，但刚性明显较小。
Imposition methods of interface conditions for the second-order wave equation with non-conforming grids is considered. The spatial discretization is based on high order finite differences with summation-by-parts properties. Previously presented solution methods for this problem, based on the simultaneous approximation term (SAT) method, have shown to introduce significant stiffness. This can lead to highly inefficient schemes. Here, two new methods of imposing the interface conditions to avoid the stiffness problems are presented: 1) a projection method and 2) a hybrid between the projection method and the SAT method. Numerical experiments are performed using traditional and order-preserving interpolation operators. Both of the novel methods retain the accuracy and convergence behavior of the previously developed SAT method but are significantly less stiff.
