• 论文 •

### 线性弹性问题的局部正交分解方法

1. 1. 井冈山大学数理学院, 吉安 343009;
2. 上海交通大学数学科学学院, 自然科学研究院和教育部科学与工程计算重点实验室, 上海 200240
• 收稿日期:2017-03-02 出版日期:2018-03-15 发布日期:2018-03-13
• 基金资助:

国家自然科学基金（11471214，11571314）；江西省教育厅科技项目（GJJ160758）；吉安市软科学计划项目（吉市科计字[2012]32-7）；井冈山大学博士科研启动项目（JZB11002）.

Yu Tao, Zhang Lei. A LOCALIZED ORTHOGONAL DECOMPOSITION METHOD FOR LINEAR ELASTICITY[J]. Journal of Numerical Methods and Computer Applications, 2018, 39(1): 10-19.

### A LOCALIZED ORTHOGONAL DECOMPOSITION METHOD FOR LINEAR ELASTICITY

Yu Tao1, Zhang Lei2

1. 1. Department of Mathematics and Physics, Jinggangshan University, Ji'an 343009, China;
2. Institute of Natural Science and Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
• Received:2017-03-02 Online:2018-03-15 Published:2018-03-13

Localized orthogonal decomposition (LOD) method is an effective method for solving multiscale problems. The method does not require any assumptions on periodicity and scale separation. This paper employs an LOD method for solving multiscale problems in linear elasticity. We give a priori error estimates for the proposed method. The theoretical results are confirmed by various numerical experiments.

MR(2010)主题分类:

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