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
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Hodge decomposition Boundary integral operators Electric field integral equation Screens
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Published Date

19-02-2020

Language

English

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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.