An absolutely stable hp-HDG method for the time-harmonic Maxwell equations with high wave number
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1553-1577 |
| Journal / Publication | Mathematics of Computation |
| Volume | 86 |
| Issue number | 306 |
| Online published | 27 Oct 2016 |
| Publication status | Published - Jul 2017 |
Link(s)
Abstract
We present and analyze a hybridizable discontinuous Galerkin (HDG) method for the time-harmonic Maxwell equations. The divergencefree 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.
Research Area(s)
- High wave number, Hybridizable discontinuous Galerkin method, Lagrange multiplier, Time-harmonic Maxwell equations
Citation Format(s)
An absolutely stable hp-HDG method for the time-harmonic Maxwell equations with high wave number. / LU, Peipei; CHEN, Huangxin; QIU, Weifeng.
In: Mathematics of Computation, Vol. 86, No. 306, 07.2017, p. 1553-1577.
In: Mathematics of Computation, Vol. 86, No. 306, 07.2017, p. 1553-1577.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
