Tierens, Wouter; De Zutter, Daniël BOR-FDTD subgridding based on finite element principles. (English) Zbl 1220.78114 J. Comput. Phys. 230, No. 12, 4519-4535 (2011). Summary: In this paper a recently developed provably passive and stable 3D FDTD subgridding technique, based on finite elements principles, is extended to body-of-revolution (BOR) FDTD. First, a suitable choice of basis functions is presented together with the mechanism to assemble them into an overall mesh consisting of coarse and fine mesh cells. Invoking appropriate mass-lumping concepts then leads to an explicit leapfrog time stepping algorithm for the amplitudes of the basis functions. Attention is devoted to provide the reader with insight into the updating equations, in particular at a subgridding boundary. Stability, grid reflection and dispersion are also discussed. Finally, some numerical examples for toroidal and cylindrical cavities demonstrate the stability and accuracy of the method. Cited in 2 Documents MSC: 78M10 Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory 78M20 Finite difference methods applied to problems in optics and electromagnetic theory Keywords:FDTD methods; BOR-FDTD; body-of-revolution; subgridding; \(h\)-refinement PDFBibTeX XMLCite \textit{W. Tierens} and \textit{D. De Zutter}, J. Comput. Phys. 230, No. 12, 4519--4535 (2011; Zbl 1220.78114) Full Text: DOI Link References: [1] Taflove, A.; Hagness, S., Computational Electrodynamics: The Finite-Difference Time-Domain Method (2005), Artech House [2] Teixeira, F. L., FDTD/FETD methods: a review on some recent advances and selected applications, Journal of Microwaves and Optoelectronics, 6, 83-95 (2007) [3] Tsiboukis, T. D., Synthesis Lectures on Computational Electromagnetics (2006), Morgan & Claypool Publ. [4] Smithe, D. 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