期刊论文

Song, Lunji

英文

计算数学：英文版

0254-9409

2013

31

2

107-136

10.4208/jcm.1210-m4094

The work of the first author was partially supported by the National Natural Science Foundation of China （11026065 and 11101196）. This work was largely done when this author worked as a Research Fellow in Nanyang Technological University. The work of the second author was supported by the National Natural Science Foundation of China （11201166）. The work of the third author was supported by Singapore MOE Tier 1 Grant （2013-2016）, and Singapore A＊STAR-SERC-PSF Grant 122-PSF-0007.

本校为其他机构

This paper is concerned with a multi-domain spectral method, based on an interior penalty discontinuous Galerkin (IPDG) formulation, for the exterior Helmholtz problem truncated via an exact circular or spherical Dirichlet-to-Neumann (DtN) boundary condition. An effective iterative approach is proposed to localize the global DtN boundary condition, which facilitates the implementation of multi-domain methods, and the treatment for complex geometry of the scatterers. Under a discontinuous Galerkin formulation, the proposed method allows to use polynomial basis functions of different degree on d...

这份报纸涉及多域光谱方法，基于内部惩罚不连续的 Galerkin (IPDG ) 明确的表达，为经由一个准确通报或球形的 Dirichlet-to-Neumann (DtN ) 边界截断的外面的 Helmholtz 问题调节。一条有效反复的途径被建议本地化全球 DtN 边界条件，它为 scatterers 的复杂几何学便于多域方法，和处理的实现。在不连续的 Galerkin 明确的表达下面，建议方法允许在不同子域上使用不同的度的多项式基础功能，并且更重要地，明确的波浪数字依赖估计光谱计划能被导出，它为多域是以某种方式难以置信的连续 Galerkin 明确的表达。[从作者抽象]