Boundary identification for 2-D parabolic problems arising in thermal testing of materials

Author

Banks, H.T. ; Kojima, Fumio

Author_Institution

Center for Control Sci., Brown Univ., Providence, RI, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

1678

Abstract

Problems on the identification of two-dimensional spatial domains arising in the detection and characterization of structural flaws in materials are considered. For a thermal diffusion system with external boundary input, observations of the temperature on the surface are used in an output least square approach. Parameter estimation techniques based on the method of mappings are discussed, and approximation schemes are developed based on a finite-element Galerkin approach. Theoretical convergence results for computational techniques are given, and the results are applied to the identification of two kinds of boundary shapes

Keywords

approximation theory; convergence of numerical methods; finite element analysis; flaw detection; mechanical engineering computing; parameter estimation; thermal diffusion; 2-D parabolic problems; approximation schemes; boundary identification; convergence; finite-element Galerkin approach; flaw detection; mappings; mechanical engineering computing; output least square approach; parameter estimation; structural flaws; thermal diffusion system; thermal testing; Boundary conditions; Composite materials; Computer applications; Materials testing; Mathematics; NASA; Shape; Temperature; Thermal engineering; Tomography;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194614

Filename

194614