Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems

被引：6

作者：

Hagstrom, T. ^{[1
]}

Banks, J. W. ^{[2
]}

Buckner, B. B. ^{[2
]}

Juhnke, K. ^{[3
]}

机构：

[1] Southern Methodist Univ, Dept Math, Dallas, TX 75205 USA

[2] Rensselaer Polytech Inst, Troy, NY USA

[3] Bethel Coll, North Newton, KS USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2019年 / 81卷 / 03期

关键词：

Difference methods; Galerkin methods; Hyperbolic systems; PERFECTLY MATCHED LAYERS; BOUNDARY-CONDITIONS; STRICT STABILITY; SCHEMES; SUMMATION; ACCURACY; PARTS; APPROXIMATIONS; EQUATIONS; PDES;

D O I：

10.1007/s10915-019-01070-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop dissipative, energy-stable difference methods for linear first-order hyperbolic systems by applying an upwind, discontinuous Galerkin construction of derivative matrices to a space of discontinuous piecewise polynomials on a structured mesh. The space is spanned by translates of a function spanning multiple cells, yielding a class of implicit difference formulas of arbitrary order. We examine the properties of the method, including the scaling of the derivative operator with method order, and demonstrate its accuracy for problems in one and two space dimensions.

引用

页码：1509 / 1526

页数：18

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