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

被引：38
作者：
Hiptmair, Ralf [1 ]
Moiola, Andrea [1 ]
Perugia, Ilaria [1 ,2 ]
机构：
[1] Swiss Fed Inst Technol, Seminar Appl Math, CH-8092 Zurich, Switzerland
[2] Univ Pavia, Dept Math, I-27100 Pavia, Italy
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷 / 11期
关键词：
Time-harmonic Maxwell's equations; impedance boundary conditions; stability estimates; regularity; NONSMOOTH DOMAINS; INTEGRAL-EQUATION; ELEMENT METHODS; SCATTERING; POLYHEDRA; TRACES;
D O I：
10.1142/S021820251100574X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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收藏
页码：2263 / 2287
页数：25
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