Boundary identification for 2-D parabolic problems arising in thermal testing of materialsProblems 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.
Document ID
19890041271
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Banks, H. T. (Brown University Providence, RI, United States)
Kojima, Fumio (NASA Langley Research Center Hampton, VA, United States)