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Physical Sciences and Mathematics Commons™
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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
A Review Of Selected Works On Crack Indentification, Kurt M. Bryan
A Review Of Selected Works On Crack Indentification, Kurt M. Bryan
Mathematical Sciences Technical Reports (MSTR)
We give a short survey of some of the results obtained within the last 10 years or so concerning crack identification using impedance imaging techniques. We touch upon uniqueness results, continuous dependence results, and computational algorithms.
Characterizing A Defect In A One-Dimensional Bar, Cynthia Gangi, Sameer Shah
Characterizing A Defect In A One-Dimensional Bar, Cynthia Gangi, Sameer Shah
Mathematical Sciences Technical Reports (MSTR)
We examine the inverse problem of locating and describing an internal point defect in a one dimensional rod W by controlling the heat inputs and measuring the subsequent temperatures at the boundary of W. We use a variation of the forward heat equation to model heat flow through W, then propose algorithms for locating an internal defect and quantifying the effect the defect has on the heat flow. We implement these algorithms, analyze the stability of the procedures, and provide several computational examples.
Fast Reconstruction Of Cracks Using Boundary Measurements, Nicholas A. Trainor, Rachel M. Krieger
Fast Reconstruction Of Cracks Using Boundary Measurements, Nicholas A. Trainor, Rachel M. Krieger
Mathematical Sciences Technical Reports (MSTR)
This paper develops a fast algorithm for locating one or more perfectly insulating, pair-wise disjoint, linear cracks in a homogeneous two-dimensional electrical conductor, using boundary measurements.