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

页码：501 / 520

页数：20

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