Year: 2026
Type: preprint
Abstract: We prove Sobolev space well-posedness of the decoupled potential integral equations. Using basic pseudo-differential techniques, discrete stability is obtained for the standard $L^2$-pairing, and we deduce spectral convergence for high-order schemes employing discontinuous basis functions, or with additional element-wise tangential continuity imposed in the vectorial part of the system. The schemes are shown to be much better conditioned than a mature commercial EFIE/CFIE solver. In many cases appearing almost independent of wavenumber, mesh density, and the order.
Source: arXiv (Cornell University)
Author: Winterrose, David Scott
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7211903459