Finite Element Method with the Interval Set Parameters and its Applications in Computational Science

被引：0
|
作者：
Pownuk, Andrzej [1 ]
Djafari-Rouhani, Behzad [1 ]
Ramunigari, Naveen Kumar Goud [2 ]
机构：
[1] Univ Texas El Paso, Dept Math Sci, 500 W Univ Ave, El Paso, TX 79968 USA
[2] Univ Texas El Paso, Dept Civil Engn, 500 W Univ Ave, El Paso, TX 79968 USA
来源：
PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS: RECENT ADVANCES IN APPLIED MATHEMATICS | 2009年
关键词：
Interval sets; uncertainty; interval functional parameters; finite element method;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Finite Element Method (FEM) is one of the most popular approach to describe engineering structures today. In order to apply this method efficiently, it is necessary to know the exact values of all parameters. In the case of uncertain shapes, the FEM method leads to a parameter dependent system of algebraic equations with the interval set parameters. In this paper the solutions for such equation will be presented. The method use the concept of topological derivative and monotonicity. Numerical examples will be presented.
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页码：310 / +
页数：2
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