Compact Equivalent Inverse of the Electric Field Integral Operator on Screens

R. Hiptmair, C. Urzua-Torres

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

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.
Original languageEnglish
Article number9
Number of pages14
JournalIntegral Equations and Operator Theory
Volume92
Issue number1
DOIs
Publication statusPublished - 19 Feb 2020
Externally publishedYes

Keywords

  • Boundary integral operators
  • Electric field integral equation
  • Hodge decomposition
  • Screens

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