Inverse Problems for Multi-Dimensional Parabolic Partial Differential Equations

[+] Author and Article Information
Edward Hensel

Mechanical Engineering, Department 3450, New Mexico State University, Las Cruces NM 88003-0001

Appl. Mech. Rev 41(6), 263-269 (Jun 01, 1988) (7 pages) doi:10.1115/1.3151898 History: Online June 03, 2009


The parabolic inverse boundary value problem is defined, and the major characteristics common to multi-dimensional parabolic inverse problems are discussed. These include sensitivity to measurement error and noise, the value of future time information, the nonuniqueness of estimates, and the effects of temperature dependent thermal properties. The importance of quantifying resolution degradation and estimate variances is discussed.

Copyright © 1988 by American Society of Mechanical Engineers
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