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.
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页码：2705 / 2726
页数：22
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