A C0IP method of transmission eigenvalues for elastic waves
A C0IP method of transmission eigenvalues for elastic waves
复制标题
弹性波传输特征值的C0IP方法
DOI：
10.1016/j.jcp.2018.07.053
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发表时间：
2018
影响因子：
4.1
通讯作者：
Geng Hongrui
中科院分区：
文献类型：
--
作者：
Xi Yingxia;Ji Xia;Geng Hongrui
本文发展了一种间断Galerkin方法，用以计算在逆弹性散射理论中具有实际意义的几个最小弹性透射本征值。对于高阶问题，间断伽辽金方法与经典的协调有限元方法相比，采用了更简单的基函数，使得数值实现更加容易。本文提出了一种求解弹性传动特征值问题的C0拉格朗日元（C0 IP）内罚间断Galerkin方法，并证明了其最优收敛性。数值算例验证了该方法的有效性。可以得到真实的和复特征值。
This paper develops a discontinuous Galerkin method to compute a few smallest elasticity transmission eigenvalues, which are of practical importance in inverse elastic scattering theory. For high-order problems, comparing with classical conforming finite element methods, discontinuous Galerkin methods use simpler basis functions which make the numerical implementation much easier. In this paper, we propose an interior penalty discontinuous Galerkin method using C 0 Lagrange elements (C 0 IP) for the elastic transmission eigenvalue problem and prove the optimal convergence. Numerical examples are presented to validate its effectiveness. Both real and complex eigenvalues can be obtained.