6533b86cfe1ef96bd12c8a49
RESEARCH PRODUCT
Crack detection using electrostatic measurements
Martin BrühlMartin HankeMichael Pidcocksubject
Numerical AnalysisWork (thermodynamics)business.industryFissureApplied MathematicsInverse problemThermal conductionComputational Mathematicsmedicine.anatomical_structureFactorizationModeling and SimulationNondestructive testingmedicineInitial value problemFactorization methodbusinessAlgorithmAnalysisMathematicsdescription
In this paper we extend recent work on the detection of inclusions using electrostatic measurements to the problem of crack detection in a two-dimensional object. As in the inclusion case our method is based on a factorization of the difference between two Neumann-Dirichlet operators. The factorization possible in the case of cracks is much simpler than that for inclusions and the analysis is greatly simplified. However, the directional information carried by the crack makes the practical implementation of our algorithm more computationally demanding.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-05-01 | ESAIM: Mathematical Modelling and Numerical Analysis |