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$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations (2103.14981v2)
Published 27 Mar 2021 in math.NA and cs.NA
Abstract: 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.