Document Type
Article
Publication Date
9-26-2002
First Advisor
Kurt Bryan
Abstract
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.
Recommended Citation
Gangi, Cynthia and Shah, Sameer, "Characterizing a Defect in a One-Dimensional Bar" (2002). Mathematical Sciences Technical Reports (MSTR). 91.
https://scholar.rose-hulman.edu/math_mstr/91
Included in
Mathematics Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
Comments
MSTR 02-10