In this presentation, the analysis of the resonant frequencies and fundamental modes of arbitrarily shaped resonant cavities in three dimensions is explored. An incremental insertion Delaunay triangulation algorithm, a medial axis calculation algorithm, an algorithm for meshing the interior of a domain based on the medial axis, and a fast, GPU-based finite element method algorithm were employed to facilitate the exploration. The agreement of results obtained with analytical solutions, as well as the peculiar behavior of selected cavities is demonstrated.
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EE 115, Purdue University, West Lafayette, IN