$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations

Markus Faustmann, Jens Markus Melenk, Maryam Parvizi

The inverse of the stiffness matrix of the time-harmonic Maxwell equation with perfectly conducting boundary conditions is approximated in the blockwise low-rank format of ${\mathcal H}$-matrices. We prove that root exponential convergence in the block rank can be achieved if the block structure conforms to a standard admissibility criterion.

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