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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
47/2012

Frequency Explicit Regularity Estimates for the Electric Field Integral Operator

Lehel Banjai and Stefan A. Sauter

Abstract

In this paper, we derive regularity estimates for the electric field integral operator which arises when formulating the time-harmonic Maxwell problem as a boundary integral equation. More precisely, we show that the regularity constants can be bounded polynomially in terms of the frequency, where the degree of the polynomial depends on the regularity order and is given explicitly. The paper concludes with an application of these results to the electric field integral equation with distributional right-hand side.

Received:
Jul 30, 2012
Published:
Jul 30, 2012
MSC Codes:
35J25, 35B65, 78A45, 65N38, 65R20
Keywords:
Electromagnetic scattering, electric field integral equation, regularity of solutions

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Preprint
2012 Repository Open Access
Lehel Banjai and Stefan A. Sauter

Frequency explicit regularity estimates for the electric field integral operator