Boundary Shape Identification in Two-Dimensional Electrostatic Problems Using SQUIDs

摘要

This paper is concerned with a quantitative nondestructive evaluation of conductors using superconducting quantum interference devices (SQUIDs). A measurement system is described for an electrical potential problem with an unknown boundary. Domain identification is discussed for an electrical potential problem with an unknown boundary. Domain identification is discussed within the theoretical framework of a parameter estimation problem for the electrostatic field analysis. Applying the method of mappings to the problem considered here, we present computational methods, including theoretical convergence results for the associated finite dimensional problem identification techniques.