Edge elements based numerical computation of dipole density

Quantitative (model based) methods for processing eddy current testing (ECT) data require an efficient modelling of the interaction between ECT probes and defects. Integral formulation in terms of the so-called dipole density appear to be very efficient because they require the discretization of the region occupied by the defect(s) only, In this work we propose a new numerical model that combines the Whitney forms with the aforementioned integral formulation. Problems related to an efficient computation of the required Green function and its projections on the shape functions will be carefully considered and overcome. Numerical examples will demonstrate the feasibility of the proposed approach.