SEMI-DISCRETE AND FULLY DISCRETE HDG METHODS FOR BURGERS' EQUATION

被引:0
|
作者
Zhu, Zimo [1 ]
Chen, Gang [1 ]
Xie, Xiaoping [1 ]
机构
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
基金
中国国家自然科学基金;
关键词
Burgers' equation; HDG method; semi-discrete scheme; fully discrete scheme; error estimate; FINITE-ELEMENT-METHOD; DISCONTINUOUS GALERKIN METHOD; NUMERICAL-SOLUTIONS; SCHEME;
D O I
10.3934/cpaa.2021132
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper proposes semi-discrete and fully discrete hybridizable discontinuous Galerkin (HDG) methods for the Burgers' equation in two and three dimensions. In the spatial discretization, we use piecewise polynomials of degrees k (k >= 1); k - 1 and l (l = k - 1; k) to approximate the scalar function, flux variable and the interface trace of scalar function, respectively. In the full discretization method, we apply a backward Euler scheme for the temporal discretization. Optimal a priori error estimates are derived. Numerical experiments are presented to support the theoretical results.
引用
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页码:58 / 81
页数:24
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