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STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS

RALF HIPTMAIR

Seminar for Applied Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland

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ANDREA MOIOLA

Seminar for Applied Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland

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ILARIA PERUGIA

Department of Mathematics, University of Pavia, Via Ferrata 1, 27100 Pavia, Italy

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https://doi.org/10.1142/S021820251100574XCited by:34 (Source: Crossref)

Abstract

We consider the time-harmonic Maxwell equations with constant coefficients in a bounded, uniformly star-shaped polyhedron. We prove wavenumber-explicit norm bounds for weak solutions. This result is pivotal for convergence proofs in numerical analysis and may be a tool in the analysis of electromagnetic boundary integral operators.

Keywords:

AMSC: 35B65, 35D30, 35Q61

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