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Boundary shape identification in two-dimensional electrostatic problems using SQUIDs
-
H. T. Banks
and
F. Kojima
Published/Copyright:
September 7, 2013
Abstract
- 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 within the theoretical framework of 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.
Published Online: 2013-09-07
Published in Print: 2000-10
© 2013 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Contents
- Unique determination of surface breaking cracks in three-dimensional bodies
- A two-surface problem for a biharmonic equation
- Boundary shape identification in two-dimensional electrostatic problems using SQUIDs
- An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators
- Numerical solution of the Cauchy problem in plane elastostatics
- Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain
- Remarks on modification of Helgason’s support theorem
