<div class="csl-bib-body">
<div class="csl-entry">Faustmann, M., Melenk, J. M., & Parvizi, M. (2022). 𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. <i>Advances in Computational Mathematics</i>, <i>48</i>(5), Article 59. https://doi.org/10.1007/s10444-022-09965-z</div>
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dc.identifier.issn
1019-7168
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/139617
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dc.description.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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dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.publisher
SPRINGER
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dc.relation.ispartof
Advances in Computational Mathematics
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dc.subject
Finite element method
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dc.subject
Helmholtz decompositions
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dc.subject
Hierarchical matrices
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dc.subject
Maxwell equations
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dc.title
𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations