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.

Researchers should cite this work as follows:

• Oluseye Akomolede (2017), "ECE 695NS Student Presentation: Analysis of Asymmetrical Cavities with the Finite Element Method," https://nanohub.org/resources/26495.

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