Erschienen in:
Mathematics of Computation, 86 (2017) 306, Seite 1553-1577
Sprache:
Englisch
ISSN:
0025-5718;
1088-6842
Entstehung:
Anmerkungen:
Beschreibung:
Abstract 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 𝜅, the mesh size ℎ and the polynomial order 𝑝 is obtained. Numerical results are given to verify the theoretical analysis.