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Originalpublikation
Faustmann, M.; Melenk, J.M.; Parvizi, M.: H-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. In: Advances in Computational Mathematics 48 (2022), Nr. 5, 59. DOI: https://doi.org/10.1007/s10444-022-09965-z
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 H-matrices. Under a technical assumption on the mesh, we prove that root exponential convergence in the block rank can be achieved, if the block structure conforms to a standard admissibility criterion.