Interval-based parameter identification for structural static problems
Interval-based parameter identification for structural static problems
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发表时间：
2014-08
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通讯作者：
Naijia Xiao;F. Fedele;R. Muhanna
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作者：
Naijia Xiao;F. Fedele;R. Muhanna
提出了一种基于区间的结构静力反问题参数辨识方法。提出的逆公式利用区间有限元法与伴随优化相结合的方法。反演算法分为两步：首先，利用确定性迭代求解器对参数进行估计；然后，该算法切换到先前求解器的区间扩展，使用参数的确定性估计作为初始猜测。迭代基于一个新的包含停止标准终止，这是区间固有的。数值算例表明，该方法能保证参数的区间包络。
We present an interval-based approach for parameter identification in structural static inverse problems. The proposed inverse formulation exploits the Interval Finite Element Method (IFEM) combined with adjoint-based optimization. The inversion consists of a two-step algorithm: first, an estimate of the parameters is obtained by means of a deterministic iterative solver. Then, the algorithm switches to the interval extension of the previous solver, using the deterministic estimate of the parameters as an initial guess. The iterations are terminated based on a new containment-stopping criterion, which is intrinsic to intervals. Various numerical examples show that the proposed method provides guaranteed interval enclosures of the parameters.