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Stability results for the time-harmonic Maxwell equations with impedance boundary conditions

Hiptmair, R., Moiola, A. and Perugia, I. (2011) Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Mathematical models and methods in applied Sciences (M3AS), 21 (11). pp. 2263-2287. ISSN 0218-2025

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To link to this item DOI: 10.1142/S021820251100574X

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:28024
Uncontrolled Keywords:Time-harmonic Maxwell's equations; impedance boundary conditions; stability estimates; regularity
Publisher:World Scientific

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