期刊
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
卷 40, 期 5, 页码 815-841出版社
EDP SCIENCES S A
DOI: 10.1051/m2an:2006035
关键词
waves; acoustics; Maxwell's system; Discontinuous Galerkin methods; symplectic schemes; energy conservation; second-order accuracy
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh, calls for the construction of local-time stepping algorithms. These schemes have already been developed for N-body mechanical problems and are known as symplectic schemes. They are applied here to DGTD methods on wave propagation problems.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据