Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

被引：6
|
作者：
Yu, Zhengqin [1 ]
Xie, Xiaoping [1 ]
机构：
[1] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2015年 / 8卷 / 04期
基金：
中国国家自然科学基金;
关键词：
elastodynamic problem; hybrid stress finite element; semi-discrete; fully discrete; PRIORI ERROR ESTIMATION; RATIONAL APPROACH; POLYGONAL DOMAIN; PLANE ELASTICITY; MODEL;
D O I：
10.4208/nmtma.2015.m1324
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proposes and analyzes semi-discrete and fully discrete hybrid stress finite element methods for elastodynamic problems. A hybrid stress quadrilateral finite element approximation is used in the space directions. A second-order center difference is adopted in the time direction for the fully discrete scheme. Error estimates of the two schemes, as well as a stability result for the fully discrete scheme, are derived. Numerical experiments are done to verify the theoretical results.
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页码：582 / 604
页数：23
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