An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form
An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form
复制标题
二阶弹性波方程的基于能量的间断伽辽金离散化
DOI：
10.1016/j.cma.2018.04.014
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发表时间：
2018
影响因子：
7.2
通讯作者：
Hagstrom, Thomas
中科院分区：
文献类型：
--
作者：
Appelö, Daniel;Hagstrom, Thomas
我们提出了我们的一般公式（Appelö 和 Hagstrom（2015）[12]）的应用，以构建基于能量的、任意阶精确的、不连续的伽辽金线性弹性波方程空间离散。由此产生的方法是稳定的，并且根据数值通量的选择，保存或耗散弹性能。该方法的性能通过制造的精确解决方案来证明。还介绍了对更现实问题的应用。 Appelö 和 Hagstrom (2015) [19] 可以免费提供这些方法的实现。
We present an application of our general formulation (Appelö and Hagstrom (2015) [12]) to construct energy based, arbitrary order accurate, discontinuous Galerkin spatial discretizations of the linear elastic wave equation. The resulting methods are stable and, depending on the choice of numerical flux, conserve or dissipate the elastic energy. The performance of the method is demonstrated for problems with manufactured and exact solutions. Applications to more realistic problems are also presented. Implementations of the methods are freely available at Appelö and Hagstrom (2015) [19].