Explicit, Consistent, and Conditionally Stable Extension of FD-TD to Tetrahedral Grids by FIT

The finite difference-time domain algorithm is extended by means of finite integration technique to the case of tetrahedral primal grids. The resulting algorithm, unlike all previous attempts proposed in literature, is both explicit, consistent, and conditionally stable. It can be applied to both isotropic and anisotropic linear media. Numerical experiments demonstrate that the proposed algorithm leads to accurate approximations of the electromagnetic field.