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Interval finite element
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Interval finite element : ウィキペディア英語版
Interval finite element

The interval finite element method (interval FEM) is a finite element method that uses interval parameters. Interval FEM can be applied in situations where it is not possible to get reliable probabilistic characteristics of the structure. This is important in concrete structures, wood structures, geomechanics, composite structures, biomechanics and in many other areas (). The goal of the Interval Finite Element is to find upper and lower bounds of different characteristics of the model (e.g. stress, displacements, yield surface etc.) and use these results in the design process. This is so called worst case design, which is closely related to the limit state design.
Worst case design require less information than probabilistic design however the results are more conservative (and Elishakoff 1998 ).
== Applications of the interval parameters to the modeling of uncertainty ==

Solution of the following equation
: ax=b \,
where ''a'' and ''b'' are real numbers is equal to x=\frac .
Very often exact values of the parameters ''a'' and ''b'' are unknown.

Let's assume that a\in()=\mathbf and b\in()=\mathbf . In that case it is necessary to solve the following equation
: ()x=()
There are several definition of the solution set of the equation with the interval parameters.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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