Compact equivalent inverse of the electric field integral operator on screens

URZUA-TORRES, C
Hiptmair, R

19 February 2020

Journal:

Integral Equations and Operator Theory

Last Updated:

2020-08-10T13:00:49.12+01:00

92

DOI:

10.1007/s00020-020-2564-9

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.

1083693

Submitted

Journal Article