Abstract
The application of unstructured grids can improve the solution of total field electromagnetic problems as these grids allow efficient local refinement of the mesh at the locations of high field gradients. Unstructured grids also provide the flexibility required for representing arbitrary topography and sub-surface interfaces. This study investigates the generalization of the standard Yee's staggered scheme to unstructured tetrahedral-Voronoi grids using a finite-volume approach. We discretize the Helmholtz equation for the electric field in the frequency domain and solve the problem to find the projection of the total electric field along the edges of the tetrahedral elements. To compute the electric and magnetic fields at the observation points an interpolation technique is employed which uses the edge vector interpolation functions of the tetrahedral elements. An example is included which shows the computation of the total and secondary fields due to an electric source in a halfspace that contains an anomalous body. The results show good agreement with those from the literature.
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