An hp-version error analysis of the discontinuous Galerkin method for linear elasticity

被引：0
|
作者：
Huang, Jianguo [1 ,2 ]
Huan, Xuehai [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Shanghai Jiao Tong Univ, MOE LSC, Shanghai 200240, Peoples R China
[3] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China
来源：
APPLIED NUMERICAL MATHEMATICS | 2018年 / 133卷
基金：
中国国家自然科学基金;
关键词：
Linear elsaticity; Discontinuous Galerkin method; Numerical fluxes; hp-version error analysis; FINITE-ELEMENT-METHOD; INVERSE APPROXIMATION THEOREMS; WEIGHTED BESOV-SPACES; P-VERSION; POLYNOMIAL L-2-PROJECTION; OPTIMAL CONVERGENCE; STABILITY; FRAMEWORK; FAMILY; GRIDS;
D O I：
10.1016/j.apnum.2017.12.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An hp-version error analysis is developed for the general DG method in mixed formulation for solving the linear elastic problem. First of all, we give the hp-version error estimates of two L-2 projection operators. Then incorporated with the techniques in [11], we obtain the hp-version error estimates in energy norm and L-2 norm. Some numerical experiments are provided for demonstrating the theoretical results. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：83 / 99
页数：17
相关论文
共 50 条
12345