Name
Title | ||
|---|---|---|
Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a hybridizable discontinuous Galerkin method. |
Abstract | ||
|---|---|---|
This work is concerned with the development of numerical methods for the simulation of time-harmonic electromagnetic wave propagation problems. A hybridizable discontinuous Galerkin (HDG) method is adopted for the discretization of the two-dimensional time-harmonic Maxwell’s equations on a triangular mesh. A distinguishing feature of the present work is that this discretization method is employed at the subdomain level in the framework of a Schwarz-type domain decomposition algorithm (DDM). We show that HDG method naturally couples with a Schwarz method relying on optimized transmission conditions. The presented numerical results show the effectiveness of the optimized DDM-HDG method. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.cpc.2015.11.011 | Computer Physics Communications |
Keywords | Field | DocType |
Hybridizable discontinuous Galerkin,Domain decomposition method,Optimized Schwarz algorithm,Time-harmonic Maxwell’s equations | Discontinuous Galerkin method,Discretization,Mathematical optimization,Wave propagation,Mathematical analysis,Algorithm,Schwarz alternating method,Numerical analysis,Maxwell's equations,Mathematics,Domain decomposition methods,Triangle mesh | Journal |
Volume | ISSN | Citations |
200 | 0010-4655 | 2 |
PageRank | References | Authors |
0.40 | 13 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yu-Xuan He | 1 | 2 | 0.40 |
| Liang Li | 2 | 18 | 1.81 |
| Stéphane Lanteri | 3 | 379 | 29.12 |
| T. Z. Huang | 4 | 115 | 18.95 |