Accession Number:

ADA193757

Title:

Boundary Shape Identification Problems in Two-Dimensional Domains Related to Thermal Testing of Materials,

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s):

• Banks, H. T.
• Kojima, Fumio

Report Date:

1988-04-15

Pagination or Media Count:

35.0

Abstract:

This paper is concerned with the identification of the geometrical structure of the system boundary for a two-dimensional diffusion system. The domain identification problem treated here is converted into an optimization problem based on a fit-to-data criterion and theoretical convergence results for approximate identification techniques are discussed. Results of numerical experiments to demonstrate the efficacy of the theoretical ideas are reported.

Descriptors:

• *THERMAL DIFFUSION
• *SYSTEMS ANALYSIS
• *NONDESTRUCTIVE TESTING
• BOUNDARIES
• BOUNDARY VALUE PROBLEMS
• CONVERGENCE
• GEOMETRY
• IDENTIFICATION
• MATERIALS
• NUMERICAL METHODS AND PROCEDURES
• OPTIMIZATION
• SHAPE
• TEST AND EVALUATION
• TWO DIMENSIONAL
• APPLIED MATHEMATICS
• HILBERT SPACE
• FINITE ELEMENT ANALYSIS
• AIR FORCE RESEARCH

Subject Categories:

• Statistics and Probability
• Laminates and Composite Materials

Distribution Statement:

APPROVED FOR PUBLIC RELEASE