An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
In: Mathematics of Computation, Jg. 86 (2016-10-27), S. 1553-1577
Online
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Zugriff:
We present and analyze a hybridizable discontinuous Galerkin (HDG) method for the time-harmonic Maxwell equations. The divergence-free condition is enforced on the electric field, then a Lagrange multiplier is introduced, and the problem becomes the solution of a mixed curl-curl formulation of the Maxwell's problem. The method is shown to be an absolutely stable HDG method for the indefinite time-harmonic Maxwell equations with high wave number. By exploiting the duality argument, the dependence of convergence of the HDG method on the wave number k, the mesh size h and the polynomial order p is obtained. Numerical results are given to verify the theoretical analysis.
Titel: |
An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number
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Autor/in / Beteiligte Person: | Lu, Peipei ; Chen, Huangxin ; Qiu, Weifeng |
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Zeitschrift: | Mathematics of Computation, Jg. 86 (2016-10-27), S. 1553-1577 |
Veröffentlichung: | American Mathematical Society (AMS), 2016 |
Medientyp: | unknown |
ISSN: | 1088-6842 (print) ; 0025-5718 (print) |
DOI: | 10.1090/mcom/3150 |
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