Faustmann, M., Melenk, J. M., & Parvizi, M. (2022). 𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Advances in Computational Mathematics, 48(5), Article 59. https://doi.org/10.1007/s10444-022-09965-z
Finite element method; Helmholtz decompositions; Hierarchical matrices; Maxwell equations
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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 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.
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Project title:
Analysis der H-Matrix-Inversion: P 28367-N35 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF)) Numerische Methoden Höherer Ordnung für nichtlokale Operatoren: F 6507-N36 (Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
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Project (external):
Deutsche Forschungsgemeinschaft (DFG)
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Project ID:
Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453)
