Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
Open access
Datum
2020Typ
- Journal Article
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. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000403145Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Integral Equations and Operator TheoryBand
Seiten / Artikelnummer
Verlag
BirkhäuserThema
Boundary integral operators; Electric field integral equation; Screens; Hodge decompositionOrganisationseinheit
03632 - Hiptmair, Ralf / Hiptmair, Ralf