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 language | English |
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Article number | 9 |
Number of pages | 14 |
Journal | Integral Equations and Operator Theory |
Volume | 92 |
Issue number | 1 |
DOIs | |
Publication status | Published - 19 Feb 2020 |
Externally published | Yes |
Keywords
- Boundary integral operators
- Electric field integral equation
- Hodge decomposition
- Screens