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Sparse and explicit FETD via approximate inverse Hodge (mass) matrix

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2 Author(s)
Bo He ; Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH, USA ; Teixeira, F.L.

Finite-element time-domain (FETD) simulations of Maxwell equations in irregular simplicial grids require the solution of a sparse linear system involving the Hodge (mass) matrix at each time step. This can be avoided by mass lumping techniques that approximate the mass matrix by a diagonal matrix, but not without shortcomings. In this communication, we propose an alternative approach to yield a conditionally stable, fully explicit, and sparse FETD by using a sparse approximate inverse of the mass matrix.

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Microwave and Wireless Components Letters, IEEE  (Volume:16 ,  Issue: 6 )