Utilization of geometric symmetries in `edge´ based boundary integral eddy current solutions

An efficient implementation of this simple layer integral equation procedure for eddy current computation is presented. Vector boundary elements of quadrilateral and trilateral shapes are constructed. These elements, based on facet finite elements, have unknowns associated with edges, and are useful for modeling vector surface currents. The simple layer integral procedure is then discretized via the method of moments. A procedure is implemented to fully utilize geometric symmetries of the interior domain. The symmetry planes are not necessarily perfect electric or magnetic conductors. Using symmetric vector shape functions and introducing symmetric components allows the coefficient matrix to be symmetrized and then reduced to smaller systems. This procedure is used to compute the eddy current profile of a conducting plate with a small slot