论文标题
二阶公式中的波动方程式，用于声波的隐式/显式，BEM/FEM耦合方案
Implicit/explicit, BEM/FEM coupled scheme for acoustic waves with the wave equation in the second order formulation
论文作者
论文摘要
考虑了在无限均匀域中通过有限的不均匀性对波的声学散射。描述了时域边界积分方程的对称耦合系统和波方程的二阶公式。一个完全离散的系统由边界和有限元方法（BEM/FEM），内部跨越时间步变以及边界积分方程的卷积正交组成。卷积正交基于BDF2，梯形规则或新引入的截短的梯形规则，该规则对近似解决方案的实现和质量具有一些有利的特性。我们在完全离散系统的CFL孔子下进行了稳定性和收敛分析。理论结果通过二维的数值实验来说明。
Acoustic scattering of waves by bounded inhomogeneities in an unbounded homogeneous domain is considered. A symmetric coupled system of time-domain boundary integral equations and the second order formulation of the wave equation is described. A fully discrete system consists of spatial discretization by boundary and finite element methods (BEM/FEM), leapfrog time-stepping in the interior, and convolution quadrature for the boundary integral equations. Convolution quadrature is based on BDF2, trapezoidal rule, or a newly introduced truncated trapezoidal rule that has some favourable properties for both the implementation and quality of approximate solution. We give a stability and convergence analysis under a CFL conditon of the fully discrete system. The theoretical results are illustrated by numerical experiments in two dimensions.
