Friday, July 17

MS64
Inverse Problems in Nondestructive Testing

10:30 AM-12:30 PM
Room: Sidney Smith 2106

An inverse problem consists in determining a cause for a desired or for an observed effect. Hence, it is evident that inverse problems arise in many industrial applications, like in nondestructive testing where one is looking for the cause (e.g., a crack) for an observed effect (e.g., perturbations in a magnetic or electrical field). There is considerable interest in solving nondestructive testing problems by sophisticated numerical methods based on recent developments in the mathematical theory of inverse problems. The speakers in this minisymposium will present case studies for nondestructive testing problems and mathematical methods for solving them.

10:30 An Equation Error Method for Solving an Inverse Problem in Ingot Casting

Otmar Scherzer, Organizer; and Martin Hanke, Universität Karlsruhe, Germany

11:00 Mathematical Models and Inverse Problems for Cartilage Degradation Detection

Ben G. Fitzpatrick and Jeffrey R. Sachs, Daniel H. Wagner Associates, and Alan J. Grodzinsky, Massachusetts Institute of Technology

11:30 Indirect Determination of a Spatially Variable Velocity Field

Paul DuChateau, Colorado State University

12:00 On the Identification of Reinforcement Bars in Concrete

Andreas Neubauer, Organizer