Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
Journal Article
(2020)
Author(s)
R. Hiptmair (ETH Zürich)
C. Urzua-Torres (University of Oxford)
Affiliation
External organisation
DOI related publication
https://doi.org/10.1007/s00020-020-2564-9
Final published version
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Publication Year
2020
Language
English
Affiliation
External organisation
Issue number
1
Volume number
92
Article number
9
Downloads counter
146
Abstract
We construct inverses of the variational electric field boundary integral operator up to compact perturbations on orientable topologically simple screens. We describe them as solution operators of variational problems set in low-regularity standard trace spaces. On flat disks these variational problems do not involve the inversion of any non-local operators. This result lays the foundation for operator preconditioning for the discretized electric field integral equation.