Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

被引：2

作者：

Tie B. ^{[1
]}

机构：

[1] Laboratory MSSMat (UMR8579), CNRS, CentraleSupélec, Université Paris-Saclay, 8-10 rue Joliot-Curie, Gif-sur-Yvette

来源：

Advanced Modeling and Simulation in Engineering Sciences | / 6卷 / 1期

关键词：

Anisotropy; Elastic wave propagation; Heterogeneous medium with physical interfaces; Polycrystalline materials; Space discontinuous Galerkin method; Stability; Time discontinuous space–time Galekin method;

D O I：

10.1186/s40323-019-0127-x

中图分类号：

学科分类号：

摘要：

This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media. Mechanism of both methods to ensure their stability using time or space discontinuities of unknown fields is analyzed and compared. The most general case of anisotropic and heterogeneous media with physical interfaces of discontinuous material properties is considered, especially for the space discontinuous Galerkin method. A new stability result is proved. Numerical applications to different elastic media, more particularly polycrystalline materials containing a large number of physical interfaces, are also presented to confirm theoretical analyses. © 2019, The Author(s).

引用

共 22 条

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