A NEW DISCONTINUOUS GALERKIN FORMULATION FOR WAVE EQUATIONS IN SECOND-ORDER FORM

被引：32

作者：

Appeloe, Daniel ^{[1
]}

Hagstrom, Thomas ^{[2
]}

机构：

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2015年 / 53卷 / 06期

基金：

美国国家科学基金会;

关键词：

discontinuous Galerkin; upwind flux; wave equation; FINITE-ELEMENT METHODS; HYPERBOLIC SYSTEMS; MAXWELLS EQUATIONS; MEDIA; PROPAGATION;

D O I：

10.1137/140973517

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop and analyze a new strategy for the spatial discontinuous Galerkin discretization of wave equations in second-order form. The method features a direct, mesh-independent approach to defining interelement fluxes. Both energy-conserving and upwind discretizations can be devised. We derive a priori error estimates in the energy norm for certain fluxes and present numerical experiments showing that optimal convergence in L-2 is obtained.

引用

页码：2705 / 2726

页数：22

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