线弹性力学问题局部间断有限元方法的后验误差估计

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (12): 1857-1862.

线弹性力学问题局部间断有限元方法的后验误差估计

陈韵骋1，黄建国1，徐一峰2,3

（1.上海交通大学数学系，上海 200240； 2.上海师范大学数学系，上海 200234；3.上海高校科学计算重点实验室,上海 200234）

收稿日期:2010-10-15 出版日期:2011-12-31 发布日期:2011-12-31
基金资助:
国家自然科学基金国际合作项目（11161130004），上海市重点学科资助项目（T0401）

A Posteriori Error Estimates for Local Discontinuous Galerkin Methods of Linear Elasticity

CHEN Yun-Cheng-1, HUANG Jian-Guo-1, XU Yi-Feng-2, 3

(1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;3. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China)

Received:2010-10-15 Online:2011-12-31 Published:2011-12-31

摘要/Abstract

摘要： 基于线弹性力学问题的局部间断有限元方法，对于无悬点型的三角剖分网格，给出了应力张量场L2—范数下的一个残差型全局后验误差估计，并给出该误差估计式的可靠性和有效性分析.

关键词: 间断有限元方法, 线弹性力学问题, 提升算子, 后验误差估计

Abstract: For the local discontinuous Galerkin method of linear elasticity, this paper established a global residual-based a posteriori error estimator of the stress field σ under L2-norm, in the case of meshes without hanging nodes. The reliability and efficiency of the estimator was also discussed.

Key words: discontinuous Galerkin method, linear elasticity, lifting operator, a posteriori error analysis

中图分类号:

O241.82

陈韵骋1, 黄建国1, 徐一峰2, 3. 线弹性力学问题局部间断有限元方法的后验误差估计[J]. 上海交通大学学报（自然版）, 2011, 45(12): 1857-1862.

CHEN Yun-Cheng-1, HUANG Jian-Guo-1, XU Yi-Feng-2, 3 . A Posteriori Error Estimates for Local Discontinuous Galerkin Methods of Linear Elasticity[J]. Journal of Shanghai Jiaotong University, 2011, 45(12): 1857-1862.

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