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Mathematics > Numerical Analysis

arXiv:1408.3430 (math)
[Submitted on 14 Aug 2014 (v1), last revised 4 Sep 2014 (this version, v2)]

Title:Interval-based parameter identification for structural static problems

Authors:Naijia Xiao, Francesco Fedele, Rafi Muhanna
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Abstract: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.
Subjects: Numerical Analysis (math.NA)
Cite as: arXiv:1408.3430 [math.NA]
  (or arXiv:1408.3430v2 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.1408.3430

Submission history

From: Francesco Fedele [view email]
[v1] Thu, 14 Aug 2014 21:05:30 UTC (789 KB)
[v2] Thu, 4 Sep 2014 22:12:00 UTC (1,086 KB)
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