Compact Equivalent Inverse of the Electric Field Integral Operator on Screens

Journal article (2020)

Authors

Ralf Hiptmair ETH Zürich
Carolina Urzúa-Torres University of Oxford
Affiliation
External organisation
More Info
expand_more

Published Date

19-02-2020

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Affiliation

External organisation

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.