### 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.

**Organizers: Andreas Neubauer and Otmar Scherzer**

*University of Linz, Austria*
**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

LMH Created: 3/19/98; MMD Updated: 7/8/98