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DOE OSTI · 1494349

PDE Constrained Optimization for Digital Image Correlation

Lehoucq, Richard B.·Turner, Daniel Z.·Garavito-Garzon, Carlos A.
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Abstract

The purpose of this report is to investigate a partial differential equation (PDE) constrained optimization approach for estimating the velocity field given image data for use within digital image correlation (DIC). We first introduce the problem and the standard DIC approach and then demonstrate why the DIC problem is ill-posed and introduce a standard regularization of the problem. We also demonstrate that the functional used is sensitive and robust via a sequence of experiments given by a stochastic model inducing the PDE constraint.

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BibTeXRIS

Lehoucq, Richard B., Turner, Daniel Z., Garavito-Garzon, Carlos A.. 2015-09-01. PDE Constrained Optimization for Digital Image Correlation. https://doi.org/10.2172/1494349

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