1. Novel FDTD Technique Over Tetrahedral Grids for Conductive Media.
- Author
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Codecasa, Lorenzo, Kapidani, Bernard, Specogna, Ruben, and Trevisan, Francesco
- Subjects
FINITE element method ,FINITE difference time domain method ,COMPUTATIONAL complexity ,IMAGE reconstruction ,ALGORITHMS - Abstract
A fundamental extension for a recently introduced numerical scheme for the time-domain solution of Maxwell’s equations on tetrahedral meshes is introduced: the algorithm is here shown to be able to handle materials with finite electric resistivity, without losing any of its amenable properties. A theoretic stability analysis, valid for the extended algorithm, is presented for the first time, and a Courant–Friedrich–Lewy sufficient condition on the maximum time step allowed for the scheme to be stable is derived analytically. This result is completely novel for finite-difference time-domain (FDTD)-like approaches on tetrahedral grids. Finally, the accuracy of the extended algorithm is tested with respect to the well-known implicit finite-element method scheme on tetrahedral grids, to the canonical FDTD scheme on Cartesian orthogonal grids, and to a commercial code implementing FDTD with staircasing mitigation techniques. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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