Identifying an inaccessible electrostatic source with gradient-based inverse problem methodology and boundary elements

Identification problems are inverse problems in which unknown part of the s ystem is identified using some given information or data. Deterministic and /or non-deterministic methods were applied with Inverse Problem Methodology (IPM) to solve identification problems. In this work, Gradient - based Inv erse Problem Methodology (GIPM) is successfully employed with boundary elem ents to identify an electrostatic source using some data monitored along ac cessible boundaries. The boundary integral formulation is based on an integ ral equation, which solves only for the surface potentials due to a dielect ric in the presence of an electric field. A modified version of pattern sea rch is used at multilevels to overcome the difficulties mentioned above.