A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations

被引：14
作者：
Chen, Xi [1 ]
Appeloe, Daniel [2 ]
Hagstrom, Thomas [3 ]
机构：
[1] Univ Arizona, Coll Opt Sci, ACMS, Tucson, AZ 85721 USA
[2] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA
[3] So Methodist Univ, Dept Math, Dallas, TX 75275 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2014年 / 257卷
关键词：
Hyperbolic initial-boundary value problems; Spectral elements; Hybrid grids; BOUNDARY VALUE-PROBLEMS; DIFFERENCE TIME-DOMAIN; GRIDS;
D O I：
10.1016/j.jcp.2013.09.046
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A high order discretization strategy for solving hyperbolic initial-boundary value problems on hybrid structured-unstructured grids is proposed. The method leverages the capabilities of two distinct families of polynomial elements: discontinuous Galerkin discretizations which can be applied on elements of arbitrary shape, and Hermite discretizations which allow highly efficient implementations on staircased Cartesian grids. We demonstrate through numerical experiments in 1 + 1 and 2 + 1 dimensions that the hybridized method is stable and efficient. (C) 2013 Published by Elsevier Inc.
引用
收藏
页码：501 / 520
页数：20
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