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 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/28024
Identification Number/DOI	10.1142/S021820251100574X
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords	Time-harmonic Maxwell's equations; impedance boundary conditions; stability estimates; regularity
Publisher	World Scientific
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